Polynomials and Quadratics Review

Simplify and write your answer in standard form:

(2x² + 5x - 12) - (3x - 5x² - 2)

• 7x² + 2x - 10

• -x² + 10x + 10

• 5x² - 14

• -3x² + 8x - 14

(3x + 8)(x² + 2x - 5)

• 3x² + 6x - 40

• 18x² + 31x + 40

• 3x³ + 14x² + x - 40

• x² + 5x + 3

4y(2y² - 6y + 8)

• 8y² - 24y + 32

• 6y³ - 2y² + 12y

• 6y² - 2y + 12

• 8y³ - 24y² + 32y

Factor:

4x² - 3x - 10

• (4x - 2)(x + 5)

• (x - 2)(4x + 5)

• (2x + 5)(2x - 5)

• (2x - 2)(2x + 5)

Solve by factoring:

2x² - 13x = 7

• {-7, 1/2}

• {-14, 1}

• {-1/2, 7}

• not factorable - solve using quadratic formula

Workers needed to pour concrete for the foundation of a building. If the volume of the concrete form is 24x³ + 54x² - 105x, what are the possible dimensions of the concrete form?

• 3x, (4x + 5), (2x - 7)

• (12x² - 15x) and (2x + 7)

• 3x, (4x - 5), (2x + 7)

• (12x² + 15x) and (2x - 7)

Divide.

• 6x - 55

• 2x - 11

• 6x + 55

• 2x + 11

What is the degree of the polynomial
 x²-2x+5

• 1

• 2

• 3

• 0

Subtract:
(3x² - 3x + 2) - (-3x² + 2x - 1)

• 0x² - x + 1

• 6x² - x + 1

• 6x² - 5x + 3

• 6x² + 5x + 3

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point