Polynomial Factorization (Algebra II)
Already know how to:
factor out GCF (greatest common factor)
factor the difference of two perfect squares
factor trinomials of the form ax2 + bx + c with a lead
coefficient of 1
New information:
factoring by grouping
factoring the sum and difference of cubes
- Factor out GCF
- Split the middle term into two terms
- Rewrite the pairs of terms and take out the common factor
Sum formula
a^(3) + b^(3) = (a + b)(a^(2) - ab + b^(2))
Difference formula
a^(3) - b^(3) = (a - b)(a^(2) + ab + b^(2))
Factor Definition
a number or algebraic expression that divides another number or expression evenly
Polynomial definition
an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
a^(2) - b^(2) = (a + b)(a - b)
Finding zeros (x-intercepts) using factoring
Set each factor equal to zero and solve to find the x- intercepts