Question

What is the factored form of the polynomial?

x2 + 9x +20

(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)



The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

(y − 5)
(y + 5)
(y − 8)
(y + 8)



The model represents x2 – 9x + 14.

An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled negative x, and 14 are labeled +.

Which is a factor of x2 – 9x + 14?

x – 9
x – 2
x + 5
x + 7




Which expression is the factorization of x2 + 10x + 21?

(x + 3)(x + 7)
(x + 4)(x + 6)
(x + 6)(x + 15)
(x + 7)(x + 14)



Which are perfect square trinomials? Select two options.

x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36




Which expression is equivalent to n2 + 26n + 88 for all values of n?

(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)


Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?

(g−4)(g−10)
(g+4)(g+10)
(g+4)(g−10)
(g−4)(g+10)

Answer 1

1) (x + 4)(x + 5) — because 4 + 5 = 9 and 4·5 = 20.

2) (y − 8) — since (y − 2)(y − 8) = y^2 − 10y + 16.

3) x − 2 — x^2 − 9x + 14 = (x − 7)(x − 2), so x − 2 is a factor.

4) (x + 3)(x + 7) — 3 + 7 = 10 and 3·7 = 21.

5) x^2 − 4x + 4 and x^2 + 10x + 25 — they are (x − 2)^2 and (x + 5)^2, respectively.

6) (n + 4)(n + 22) — 4 + 22 = 26 and 4·22 = 88.

7) (g + 4)(g + 10) — 4 + 10 = 14 and 4·10 = 40.