Factoring and Solving Quadratics Review

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Multiple Choice

Factor:

5x³ - 7x²

• x²(5x - 7)

• x(5x² - 7x)

• x³(5 - 7x)

• Prime

Fill in the Blank

Factor

$$2x^2+9x+10$$  

Multiple Choice

Factor d² - 10d + 25

• (d + 5) (d - 5)

• (d - 15) (d + 10)

• (d + 5) (d - 20)

• (d - 5) (d - 5)

Multiple Choice

Factor: 49x² - 100

• (49x + 100)(x - 1)

• (7x - 10)(7x + 10)

• (49x - 10)(x + 10)

• (7x -10)(7x - 10)

Multiple Choice

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Multiple Choice

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Multiple Choice

The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Multiple Choice

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Multiple Choice

For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

• Positive

• Negative

• Zero

Multiple Choice

Solve using the quadratic formula :

x² - 7x + 12 = 0

• x = 3, -4

• x = -3, 4

• x = 3, 4

• x = -3, -4