factoring polynomials

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Presentation transcript:

factoring polynomials

Factoring using gcf Students will calculate the GCF of 2 or 3 terms of a polynomial. Students will apply concepts of GCFs and Factoring to write the factored form of a polynomial.

What is factoring? The reverse of MULTIPLYING Means to write an EQUIVALENT EXPRESSION that is a PRODUCT of two or more expressions

Factoring out a common factor Multiplying Factoring 5(x + 3) = 3a(b2 + 2) = 5x + 15 = 3ab2 + 6a =

Factoring Using GCF: 1. Find the greatest common factor (GCF). 2. Divide the polynomial by the GCF. The quotient is the other factor. 3. Express the polynomial as the product of the quotient and the GCF.

3x2 + 3 EX. 1

ex. 2 5y4 – 20y3

EX. 3 -16a2b2 + 20a2

ex. 4 15x5 – 12x4 + 27x3 – 6x2

EX. 5 -4m2n3 + 2m2n2 + 6m2n

Ticket out the door 6𝑥 3 − 2𝑥 2 −3𝑥+1 RATE YOURSELF +, O, −