- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Found 225 Articles for Class 8
111 Views
Given:Given polynomials are $14x^3y^5, 10x^5y^3$ and $2x^2y^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $14x^3y^5$ is $14$The numerical coefficient of $10x^5y^3$ is $10$The numerical coefficient of $2x^2y^2$ is $2$This implies, $14=2\times7$$10=2\times5$$2=2\times1$HCF of $14, 10$ and $2$ is $2$The common variables in the given polynomials are $x$ and $y$The power of $x$ in $14x^3y^5$ is $3$The power of $x$ ... Read More
139 Views
Given:Given polynomials are $2x^3y^2, 10x^2y^3$ and $14xy$.To do:We have to find the greatest common factor of the given polynomials.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $2x^3y^2$ is $2$The numerical coefficient of $10x^2y^3$ is $10$The numerical coefficient of $14xy$ is $14$This implies, $2=2\times1$$10=2\times5$$14=2\times7$HCF of $2, 10$ and $14$ is $2$The common variables in the given polynomials are $x$ and $y$The power of $x$ in $2x^3y^2$ is $3$The power of $x$ ... Read More
119 Views
Given:Given polynomials are $15a^3, -45a^2$ and $-150a$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $15a^3$ is $15$The numerical coefficient of $-45a^2$ is $45$The numerical coefficient of $-150a$ is $150$This implies, $15=3\times5$$45=3\times3\times5$$150=2\times3\times5\times5$HCF of $15, 45$ and $150$ is $3\times5=15$The common variable in the given polynomials is $a$.The power of $a$ in $15a^3$ is $3$The power of $a$ in $-45a^2$ ... Read More
130 Views
Given:Given polynomials are $x^3$ and $-yx^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $x^3$ is $1$The numerical coefficient of $-yx^2$ is $1$GCF is $1$The common variables in the given polynomials are $x$ and $y$The power of $x$ in $x^3$ is $3$The power of $x$ in $-yx^2$ is $2$The power of $y$ in $x^3$ is $0$The power of $y$ in ... Read More
142 Views
Given:Given polynomials are $36a^2b^2c^4, 54a^5c^2$ and $90a^4b^2c^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $36a^2b^2c^4$ is $36$The numerical coefficient of $54a^5c^2$ is $54$The numerical coefficient of $90a^4b^2c^2$ is $90$This implies, $36=2\times2\times3\times3$$54=2\times3\times3\times3$$90=2\times3\times3\times5$HCF of $36, 54$ and $90$ is $2\times3\times3=18$The common variables in the given polynomials are $a, b$ and $c$The power of $a$ in $36a^2b^2c^4$ is $2$The power of ... Read More
134 Views
Given:Given polynomials are $a^2b^3$ and $a^3b^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $a^2b^3$ is $1$The numerical coefficient of $a^3b^2$ is $1$HCF is $1$The common variables in the given polynomials are $a$ and $b$The power of $a$ in $a^2b^3$ is $2$The power of $a$ in $a^3b^2$ is $3$The power of $b$ in $a^2b^3$ is $3$The power of $b$ in ... Read More
138 Views
Given:Given polynomials are $6x^2y^2, 9xy^3$ and $3x^3y^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $6x^2y^2$ is $6$The numerical coefficient of $9xy^3$ is $9$The numerical coefficient of $3x^3y^2$ is $3$This implies, $6=2\times3$$9=3\times3$$3=3\times1$GCF of $6, 9$ and $3$ is $3$The common variables in the given polynomials are $x$ and $y$The power of $x$ in $6x^2y^2$ is $2$The power of $x$ ... Read More
170 Views
Given:Given polynomials are $4a^2b^3, -12a^3b$ and $18a^4b^3$.To do:We have to find the greatest common factor of the given polynomials.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $4a^2b^3$ is $4$The numerical coefficient of $-12a^3b$ is $12$The numerical coefficient of $18a^4b^3$ is $18$This implies, $4=2\times2$$12=2\times2\times3$$18=2\times3\times3$HCF of $4, 12$ and $18$ is $2$The common variables in the given polynomials are $a$ and $b$The power of $a$ in $4a^2b^3$ is $2$The power of $a$ ... Read More
125 Views
Given:Given polynomials are $9x^2, 15x^2y^3, 6xy^2$ and $21x^2y^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $9x^2$ is $9$The numerical coefficient of $15x^2y^3$ is $15$The numerical coefficient of $6xy^2$ is $6$The numerical coefficient of $21x^2y^2$ is $21$This implies, $9=3\times3$$15=3\times5$$6=2\times3$$21=3\times7$HCF of $9, 15, 6$ and $21$ is $3$The common variables in the given polynomials are $x$ and $y$The power ... Read More
89 Views
Given:Given polynomials are $12ax^2, 6a^2x^3$ and $2a^3x^5$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The numerical coefficient of $12ax^2$ is $12$The numerical coefficient of $6a^2x^3$ is $6$The numerical coefficient of $2a^3x^5$ is $2$This implies, $12=2\times2\times3$$6=2\times3$$2=2\times1$GCF of $12, 6$ and $2$ is $2$The common variables in the given polynomials are $a$ and $x$The power of $a$ in $12ax^2$ is $1$The power of $a$ ... Read More