Unit 7 Factoring Trinomials: a = 1

Which expressions are perfect square trinomials? Check all that apply.

(only two answers) (b) x2 + 14x + 49 (d) x2 - 24x + 144

Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

- too many tiles needed. - not enough room for a 99 total tiles. -not enough room for all of the tiles. ex. Its not a good tool because you're going to have way too many tiles needed. It would take too much time to place the 99 total tiles and rearrange them into a rectangle. Plus, you wouldn't have enough tiles.

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

(x + 1)(x + 8)

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?

(x + 3)

Which expression is the factored form of x2 - 7x + 10?

(x - 2)(x - 5)

Which geometric model using algebra tiles represents the factorization of x2 - 5x + 6?

A

Factor the polynomial completely using theX method. x2+11x+24

The value of ac is 24 The value of b is 11 The equivalent factored form of the polynomial is (x + 3) (X+ 8)

Choose the values of a and b that represent the factored form of w2 - 11w + 18. w2 - 11w + 18 = (w - a)(w - b)

a =2 b=9

The trinomial x2 + bx + c factors to (x + m)(x + n). If b is negative and c is positive, what must be true about m and n?

m and n are both negative.

Factor the polynomial completely using theX method. x2+16x+48

x2 + 12x + 4x + 48