Polynomial Mid-Unit Test

Which of the following is equivalent to the expression below?

(7a² + 5a + 3) + (-3a² + 2a - 4)

• 4a² + 7a - 1

• 4a² + 7a + 1

• -4a² + 7a - 1

• -4a² + 7a + 1

Simplify.

(x² - 3x + 1) - (x² + 2x + 7)

• x - 6

• -x + 8

• -5x - 6

• 2x² - x + 8

The sum of two binomials is 5x² - 6x. If one of the binomials is 3x² - 2x, what is the other binomial?

• 2x² - 4x

• 2x² - 8x

• 8x² + 4x

• 8x² - 8x

Simplify: 2x(x² + 3xy + 6y²)

• 2x³ + 3xy + 6y²

• 2x³ + 6x²y + 12xy²

• 2x² + 6xy + 12y²

• 2x² + 6x²y + 12xy²

Which of the following is equivalent to the expression below?

-2a(3 - a)

• -5a

• -7a

• -6a - 2a²

• -6a + 2a²

Simplify: -2xy(-3xy² + 4x²y)

• -2x³y³

• -14x³y³

• -6x²y² - 8x²y²

• 6x²y³ - 8x³y²

Simplify: (x + 7)(x - 4)

• 2x + 3

• x² - 28

• x² - 3x - 28

• x² + 3x - 28

Which polynomial is equivalent to

(2y - 3)²?

• 4y² + 6y - 9

• 4y² - 12y + 9

• 4y² + 9

• 4y² - 9

Which expression is equivalent to

(6y² - 2)(6y + 2)?

• 36y² - 4

• 36y³ - 4

• 36y² + 12y² + 12y - 4

• 36y³ + 12y² - 12y - 4

Which expression is equivalent to

(x + 3)(3x² - 4x - 5)?

• 3x³ + 5x² - 17x - 15

• 3x³ + 9x² - 13x - 15

• 3x³ + 9x² - 5x - 15

• 3x³ + 13x² - 17x - 15