Simplifying and factoring polynomials(includes special cases)

Find the sum.

[In other words, add/simplify.]

(3x² – 5x + 7) + (x³ + 10x² – 2)

• x³ + 13x² – 5x + 5

• 4x³ + 15x² + 5

• x³ + 13x² – 5x + 9

• 4x³ – 5x² + 9

Find the product.

[In other words, multiply/simplify.]

5x(3x – 7y)

• 15x – 35y

• 15x² – 7y

• 15x² – 35xy

• 8x – 7y

Find the product.

[In other words, multiply/simplify.]

(x + 5)(x – 12)

• x² – 17x – 60

• x² – 7x – 60

• x² – 7x + 60

• x² – 60

Find the difference.

[In other words, subtract/simplify.]

(3x² + 7x – 10) – (7x – 2x² + 1)

• 5x² – 11

• -4x² + 9x – 11

• 5x² – 14x – 9

• x² + 14x + 11

What is the perimeter of the rectangle?

• 14x + 49

• 14x – 14

• 14x² + 14

• 10x² – 14x

Factor out the GCF: 6x² + 27x

• 3x(2x + 9)

• 6(x² + 27x)

• 3(x² + 9x)

• 33x³

• A

• B

• C

• D

• A

• B

• C

• D