Polynomial Arithmetic

Add the polynomials.
(x + 5) + (2x + 7)

• 3x + 12
• 2x² + 35
• 2x² + 12x + 35
• 3x + 57

Add the polynomials.
(4x + 2) + (3x - 8)

• 7x - 6
• 12x - 16
• 12x + 16
• 12x² - 26x - 16

Subtract the polynomials.
(8x + 5) - (4x + 3)

• 4x + 2
• -4x - 15
• 32x² + 44x + 15
• 4x + 15

Subtract the polynomials.
(2x + 12) - (5x - 8)

• -3x + 20
• -3x + 4
• 7x + 4
• 10x² + 76x - 96

Multiply:
5x (3x² + 2x - 7)

• 15x³ + 10x² - 35x
• 60x³
• 8x³ + 7x² - 12x
• 15x² + 10x - 35x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Multiply:
-4 (3x² - 5x - 10)

• -12x² + 20x + 40
• 72x²
• -1x² + 20x - 40
• -12x² - 20x - 40

What is the GCF of
12, 18, and 30? 

• 6
• 12
• 4
• 48

Factor out the GCF:
12x² + 6x

• 6x (2x + 1)
• 6 (2x² + x)
• x (12x + 1)
• 6x (2x)

Multiply:
(x + 5)(x - 4)

• x² + x - 20
• x² - 9
• x² + 9x + 1
• x² + 9x + 20

Multiply:
(2x + 3)(3x + 1)

• 6x² + 11x + 3
• 6x² - 11x - 3
• 5x² + 9x + 4
• 5x² + 2x + 3