Factoring Trinomials: a = 1 Quiz

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)

(g+4)(g+10)

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)

(n + 4)(n + 22)

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)

(x + 4)(x + 5)

What is the factored form of the polynomial? x2 − 12x + 27? (x + 4)(x + 3) (x − 4)(x + 3) (x + 9)(x + 3) (x − 9)(x − 3)

(x − 9)(x − 3)

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor? (y − 5) (y + 5) (y − 8) (y + 8)

(y − 8)

Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36

3 4

The diagram represents the factorization of a2+8a+12. What is the missing number that will complete the factorization? 6 8 12 24

6

A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true? The length of the rectangle is k - 5 inches. The width of the rectangle is k + 4 inches. The length of the rectangle is k - 20 inches. The width of the rectangle is k + 10 inches.

The width of the rectangle is k + 4 inches.

Which equation is represented by Ms. Wilson's model? n2 + 3n + 40 = (n - 8)(n - 5) n2 + 13n + 40 = (n + 8)(n + 5) n2 + 40n + 13 = (n + 8)(n + 5) n2 + 40n + 3 = (n - 8)(n - 5)

n2 + 13n + 40 = (n + 8)(n + 5)

Which is a factor of x2 - 9x + 14? x - 9 x - 2 x + 5 x + 7

x - 2