2.3-2.5 Polynomial Review

Use long division to find the quotient

• 2x - 5

• x - 4 + (3/4x - 5)

• 2x + 4 + (3/4x - 5)

• 2x + 4

Use synthetic division to determine whether (x-2) a factor of

f(x)= x³ - 8x² + 14x - 4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is not a factor. There is a remainder.

if f(x) = 3x² - 9x - 20, find the value of f(5) using synthetic division.

• 0

• 10

• 15

• -7

Pick the polynomial that has the factors 5, -1, 0

• f(x) = x(x - 1)(x + 5)

• f(x) = (x - 5)(x + 1)

• f(x) = x(x + 1)(x - 5)

• f(x) = 5x² - x

What could be the equation of the polynomial function shown in this graph?

• 
• 
• 
• 

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

List all possible rational zeros

f(x) = 3x⁵ - 5x² + x + 6

• 1, 2, 3, 6, -1, -2, -3, -6

• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6

• 1/3,2/3,1,2,3,6

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

• 5
• 4
• 3
• 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

A polynomial function with rational coefficients of degree 4 MUST have at least 1 rational zero.

• True
• False

A polynomial function with rational coefficients of degree 3 MUST have at least 1 rational zero.

• True
• False