Polynomial Mixed Review

Multiply.
(b+3)(b²+2b+1)

• b³+6b²+6b+3

• b³+5b²+7b+3

• 4b³+8b²+3b

• 3b³+6b²+3b

A rectangle has an area of 4x² +19x + 12 and a length of (x + 4). What is the width?

• 4x - 3

• 4x + 3

• 2x + 6

• 2x + 3

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor completely: 25x²+60x+36

• (25x-6)(x-1)

• (5x-6)(5x-6)

• (5x+6)²

• (25x+4)(x+9)

Factor completely: 2x²+22x+60

• (2x+10)(x+6)

• (x+5)(x+6)

• 2(x+1)(x+30)

• 2(x+5)(x+6)

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Combine like terms to simplify:

(5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7