Factored Form of Quadratic Equations

Convert x²+6x+9 to factored form and identify the solution.

• (x+3)(x+3); x=-3

• (x+4)(x+5); x=-4, -5

• (x-3)(x-3); x=3

• Not factorable

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10

• (x+4)(x+5); x=-5, -4

• (x-4)(x-5); x=4, 5

• Not factorable

3y² + 7y - 6

• (y + 3)(3y + 2)

• (y - 3)(3y -2)

• (y - 3)(3y + 2)

• (y + 3)(3y - 2)

Factor
n²-13n+40

• (n-5)(n-8)

• (n+5)(n-8)

• (n-5)(n+8)

• (n+6)(n+1)

Which of the following expressions is a factored form of x²+6x+8?

• (x-1)(x-8)

• (x-2)(x-4)

• (x+2)(x-4)

• (x+4)(x+2)

• (x+6)(x+2)

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

Use the graph to determine the x-intercepts of the function. Write the function in factored form.

• (x+3)(x+1)

• (x-3)(x+1)

• (x-3)(x-1)

• (x+3)(x-1)

Factor: x² + 2x – 3

• (x - 2)(x + 1)

• (x + 1)(x - 3)

• (x + 2)(x - 1)

• (x - 1)(x + 3)

Find the factors of 4x²-16x-9

• (2x-9)(2x+1)

• (2x+9)(2x-1)

• (4x-1)(x+9)

• (x+1)(4x-9)

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - m)(x - n)

• f(x) = a(x - h)² + k