Adding, Subtracting, Multiplying, Dividing, and Factoring Polynomials

Find the product:
(y - 3)(y + 3)

• y² - 9
• y² + 9
• y² + 6y - 9
• y² - 6y - 9

Tags

CCSS.HSA.APR.C.4

Find the product:
(3x – 1)(x + 5) 

• 3x² + 4x + 5
• 3x² + 4x - 5
• 3x² + 14x + 5
• 3x² + 14x - 5

Tags

CCSS.HSA.APR.A.1

Simplify the expression
(x - 3)²

• x² - 6x + 9
• x² + 9
• x² + 6x - 9
• x² + 6x + 9

Tags

CCSS.HSA.APR.C.4

Multiply
(x+1)(x²-2x+1)

• x³-x²-x+1
• x³-2x+2
• x³+x²+x+1
• x³-3x²-3x+1

Tags

CCSS.HSA.APR.A.1

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Tags

CCSS.HSA.APR.A.1

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Tags

CCSS.HSA.APR.A.1

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ -3p² +16p -10
• 4p³ +3p² + 16p + 10

Tags

CCSS.HSA.APR.A.1

Simplify:

• -5a⁶ - 5a⁴
• -3a³  - 1a²
• -2a³  - 6a²
• 5a³ - 5a²

Tags

CCSS.HSA.APR.A.1

Factor:
x² - 12x + 32

• (x - 8) (x - 4)
• (x + 8) (x + 4)
• (x - 16) (x - 2)
• (x + 16) (x + 2)