Integrated Math Section 5 5 Factoring Polynomials Prime

Integrated Math Section 5. 5 Factoring Polynomials

• Prime number- a natural number that has only two factors (one and itself) • Greatest common factor – is a monomial that includes every factor that is a factor of all the terms of the polynomial

• http: //www. youtube. com/watch? v=c. Rz 4 h. W 9 SPPc

• Finding the GCF Break up each term into prime factors Box in any factor that is common to all the terms Factor out the common factor(s)

#1 Find the GCF of 28 and 40. #2 Find the GCF of 65, 150 and 200.

• You multiply with distributive property • When you factor out a GCF, you divide!

• Sometimes one of the common factors can be a binomial!

Factor these! •

• When there is nothing to factor out of a four term polynomial, try factoring by grouping • Factor first two terms, then the last two terms • Do you have a binomial that can be factored out? • Keep going!

• Watch out when the 3 rd term is negative!!! • Factoring out a negative changes the signs in the parentheses!

Assignment #22 A Pg. 340 #3 -39 (x 3)

Perfect Squares • What is a perfect square number? • What about a variable raised to a power?

• There are perfect square trinomials that can be factored!! • Look for a perfect square first term and perfect square last term

• If so, proceed! • Check the middle term using FOIL. Does it work out? • If yes, the trinomial factors!!!

• Always look for a GCF to factor first!!! • Check to see if any factors will factor again!!! • Don’t stop until the polynomial is factored completely!

Assignment #22 B Pg. 340 #41 -47 odd, 51 -81 (x 3)