Factor Quadratic with a=1

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

Solve for X:

(x-5)(x+6)=0

• {5,5 }

• { -5,-5 }

• { -5,-6 }

• {5,-6 }

Factor the following quadratic expression: x² + 4x + 3

• (x + 3)(x + 1)

• (x + 5)(x + 2)

• (x + 4)(x + 1)

• (x + 2)(x + 2)

Answer explanation

To factor the quadratic expression x² + 4x + 3, we need to find two numbers that multiply to 3 and add up to 4. The correct choice is (x + 3)(x + 1) because when we expand it, we get x² + 4x + 3, which matches the original expression.

Factor the following quadratic expression: x² - 6x + 9

• (x - 5)²

• (x - 4)(x - 2)

• (x + 3)²

• (x - 3)²

Answer explanation

To factor the quadratic expression x² - 6x + 9, we need to find two numbers that multiply to give 9 and add up to -6. The correct choice is (x - 3)² because when we expand it, we get x² - 6x + 9, which matches the given expression.

Factor the following quadratic expression: x² + 2x - 15

• (x + 5)(x - 3)

• (x - 2)(x - 8)

• (x + 7)(x - 1)

• (x + 3)(x - 5)

Answer explanation

To factor the quadratic expression x² + 2x - 15, we look for two numbers that multiply to -15 and add up to 2. The correct choice is (x + 5)(x - 3) because (5)(-3) = -15 and 5 + (-3) = 2.

Factor the following quadratic expression: x² - 5x - 14

• (x - 7)(x + 2)

• (x - 3)(x - 4)

• (x - 5)(x - 2)

• (x + 7)(x - 2)

Answer explanation

To factor the quadratic expression x² - 5x - 14, we need to find two numbers whose product is -14 and whose sum is -5. The correct choice is (x - 7)(x + 2) because when we expand it, we get x² - 5x - 14, which matches the original expression.

Factor the following quadratic expression: x² + 5x + 6

• (x + 4)(x + 2)

• (x - 2)(x - 3)

• (x + 5)(x + 1)

• (x + 2)(x + 3)

Answer explanation

To factor the quadratic expression x² + 5x + 6, we look for two numbers that multiply to 6 and add to 5. The correct choice is (x + 2)(x + 3) because (2)(3) = 6 and 2 + 3 = 5.

Factor the following quadratic expression: x² - 9x + 20

• (x - 3)(x - 7)

• (x - 6)(x - 4)

• (x - 4)(x - 5)

• (x - 2)(x - 10)

Answer explanation

To factor the quadratic expression x² - 9x + 20, we need to find two numbers whose sum is -9 and product is 20. The correct choice is (x - 4)(x - 5) because when we expand it, we get x² - 9x + 20, matching the original expression.

Factor the following quadratic expression: x² + 7x + 12

• (x + 4)(x + 3)

• (x - 3)(x - 4)

• (x + 5)(x + 2)

• (x + 2)(x + 6)

Answer explanation

To factor the quadratic expression x² + 7x + 12, we need to find two numbers that multiply to 12 and add up to 7. The correct choice is (x + 4)(x + 3) because when we expand it, we get x² + 7x + 12, which matches the original expression.

Factor the following quadratic expression: x² - 4x - 5

• (x + 5)(x - 1)

• (x - 4)(x + 1)

• (x - 3)(x - 2)

• (x - 5)(x + 1)

Answer explanation

To factor the quadratic expression x² - 4x - 5, we look for two numbers whose product is -5 and sum is -4. The correct choice is (x - 5)(x + 1) because when we expand it, we get x² - 4x - 5.