Factoring Chapter 7 Factored Form I can factor

Factoring Chapter 7

Factored Form I can factor polynomials using the GCF.

Factored Form Vocabulary factored form: a polynomial written as a product of factors greatest common factor (GCF): a monomial that divides evenly into each term

Factored Form Examples Write the polynomial in factored form by factoring out the GCF. #1) 6 x 2 + 3 x #2) 7 z 7 + 2 z 6

Factored Form Solutions #1) 3 x(2 x + 1) #2) z 6(7 z + 2)

Factored Form Examples Solve the equation. #3) 6 k 2 + k = 0 #4) 7 p 2 = 21 p

Factored Form Solutions #3) k(6 k + 1) = 0, k = 0, -1/6 #4) 7 p 2 – 21 p = 0, 7 p(p – 3) = 0, p = 0, 3

Factoring x 2 + bx + c I can factor x 2 + bx + c.

Factoring x 2 + bx + c Core Concepts In order to factor a trinomial of the form x 2 + bx + c, we must find 2 numbers that multiply to be c and add to be b.

Factoring x 2 + bx + c Examples Factor. #1) c 2 + 8 c + 7 #2) x 2 – 11 x + 18

Factoring x 2 + bx + c Solutions #1) (c + 7)(c + 1) #2) (x – 9)(x – 2)

Factoring x 2 + bx + c Examples Factor. #3) b 2 + 3 b - 54 #4) y 2 – y - 2

Factoring x 2 + bx + c Solutions #3) (b + 9)(b – 6) #4) (y - 2)(y + 1)

Factoring x 2 + bx + c Example Solve the equation. #5) g 2 – 13 g + 40 = 0

Factoring x 2 + bx + c Solution #5) (g – 8)(g – 5) = 0, g = 8, 5

Factoring ax 2 + bx + c I can factor ax 2 + bx + c.

Factoring ax 2 + bx + c

Factoring ax 2 + bx + c

Factoring Special Products I can factor the difference of 2 squares and factor perfect square trinomials.

Factoring Special Products Core Concepts Difference of 2 Squares a 2 - b 2 = (a + b)(a - b) Perfect Square Trinomial a 2 + 2 ab + b 2 = (a + b)2

Factoring Special Products

Factoring Special Products

Factoring Special Products

Factoring Special Products