Factoring Trinomials

Trinomial

three term polynomial

Binomial

two term polynomial.

Factor

an integer that divides evenly into another; a polynomial that divides evenly into another; the process of writing a polynomial as a product of prime factors

What is the middle term of the product of (x + 5)(x + 2)?

7x

What is the middle term of the product of (x - 4)(x - 3)?

-7x

What is the product of (n - 8)(n + 2)?

n 2 - 6n - 16

What is the product of (-a + 3)(a + 4)?

-a 2 - a + 12

Factor y2 + 5y + 6.

(y + 2)(y + 3)

Factor completely and then place the factors in the proper location on the grid.

x2 + 13x + 36

(x + 4) (x + 9)

Factor completely and then place the factors in the proper location on the grid.

a2 - a - 20

(a - 5) (a + 4)

Factor completely and then place the factors in the proper location on the grid.

x2 - 5x - 14

(x +2) (x - 7)

Factor p2 + 18p + 32.

(p + 2)(p + 16)

Factor completely and then place the factors in the proper location on the grid.

b2 + 12b + 32

(b + 4) (b + 8)

Factor x2 + 29x - 30.

(x - 1)(x + 30)

The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle.

l = x + 4; w = x + 3