Factoring of polynomials is the inverse process of multiplying polynomials. After factoring a polynomial, then divide the polynomial with the factors then the remainder will be zero.
Consider the identity a2 - b2 = (a + b)(a - b).In this identity a2 - b2 is the polynomial and a + b and a - b are the factors.
If we divide the polynomial with a + b or a - b then the remainder is 0.
Let us learn about factoring quadratic polynomial. Quadratic polynomial has three terms.They can be factored in three ways.
1. Factoring by grouping
2. completing the square
3. Using quadratic formula.
Some of the identities used while factoring polynomials are
First find if there is any common factor in all the terms in the given polynomial or try to find the GCD of all the terms in the polynomial and take it out and write the remaining terms in a ().
Check with any above and try to write the factors.
For more help with Math Problems Help
Consider the identity a2 - b2 = (a + b)(a - b).In this identity a2 - b2 is the polynomial and a + b and a - b are the factors.
If we divide the polynomial with a + b or a - b then the remainder is 0.
Let us learn about factoring quadratic polynomial. Quadratic polynomial has three terms.They can be factored in three ways.
1. Factoring by grouping
2. completing the square
3. Using quadratic formula.
Some of the identities used while factoring polynomials are
- a2 + 2ab + b2 = (a + b)2
- a2 - 2ab + b2 = (a - b)2
- a2 - b2 = (a + b)(a - b)
- x2 + x(a + b) + ab=(x + a)(x + b)
- a3 + b3 = (a + b)(a2 - ab + b2)
- a3 - b3 = (a - b)(a2 + ab + b2)
How to Factor Polynomials
Let us study the steps to factor a polynomial by grouping method.First find if there is any common factor in all the terms in the given polynomial or try to find the GCD of all the terms in the polynomial and take it out and write the remaining terms in a ().
Check with any above and try to write the factors.
For more help with Math Problems Help
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