Polynomial Equations and Inequality Quiz

Which of these is NOT a polynomial?

• 6x⁴ - x² + 9

• x² + x¹ᐟ²

• -2x³ + 5x

• 0.5x² - 3x + 1

TRUE OR FALSE: A polynomial equation of degree 4 can have 4 solutions at most.

• TRUE

• FALSE

TRUE OR FALSE: The Zero Product Property states that if ab = 0, then it means that only a=0 or b=0, but not both.

• TRUE

• FALSE

TRUE OR FALSE: A number is a solution to a polynomial equation if, when substituted for the variable, it makes the equation true.

• TRUE

• FALSE

1. Which of the following polynomial equations are in general form?

• x² + 2x + 1

• • - x² = 2x + 1

• x² + 2x + 1 = 0

• x(x+2) = -1

Solve for:  x² − 5x + 6 = 0

• x = -2, 3

• x = 2, -3

• x = 2, 3

• x = -2, -3

Solve for:  2x³ − 3x² − 2x + 3 = 0

• x = 2/3, 2, -1

• x = 3/2, 2,1

• x = -3/2, 2, -1

• x = 3/2, 2, -1

Solve for:  x(x² − 9) = 0

• x = 0, 3, -3

• x = 0, -3, -3

• x = 0, 3, 3

• x = 0, 1/3, -3

Solve for:  4x² = 25

• x = -5/2, 2/5

• x = -5/2, 5/2

• x = 5/2

• x = -2/5, 2/5

Solve for:  (x-2)² + 2(x-2) + 1 = 0

• x = 1

• x = -1

• x = 2

• x = -2