Operations with Polynomials

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

Simplify the expression.
(4n⁴-8n+4) - (8n²+4n⁴+1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

Multiply:
(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Tags

CCSS.HSA.APR.A.1

Divide using synthetic division
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13
• 2x³ + 4x² +3x - 1
• 2x² - 4x + 3 - 13/x-2
• 2x² + 4x + 3 - 1/x-2

Tags

CCSS.HSA.APR.D.6

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5
• f^-1(x)=(x+5)/3
• f^-1(x)=3y-5
• f^-1(x)=3y+5

Tags

CCSS.HSF-BF.B.4A

f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)

• 16x² + 8x - 3
• 16x² - 8x + 3
• 16x² - 8x - 3
• 16x² - 16x - 3

Tags

CCSS.HSF-BF.A.1B

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSF-BF.A.1B

What is the third term in the expansion of (x + 4)⁵?

• 640 x²
• 160 x³
• 4 x⁵
• 64 x³

Tags

CCSS.HSA.APR.C.5