Review of Solving Polynomial Functions

Find the zeros of the polynomial.

• A

• B

• C

• D

Find all of the zeros of the polynomial function. Hint: Graph the polynomial function and find the rational zero, then use synthetic division to determine the remaining polynomial. You will need to solve the remaining polynomial by using the the quadratic formula! f(x) = x³-2x²-6x-45

• 1,5,-5

• 5, (-3+i√2)/2, (-3-i√2)/2, 5

• 5,5,5

• (-3+3i√3)/2, (-3-3i√3)/2, 5

Tags

CCSS.HSF-IF.C.7C

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

How could you determine if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Text someone in my Algebra 2 math chat!

• Use synthetic division and see if the remainder is zero

• Flip a coin

Tags

CCSS.HSA.APR.D.6

Is (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. 

Tags

CCSS.HSA.APR.B.2

f(x) = x⁴ - 3x³ - 2x² - 6x - 9
Find all the zeros given that -1 is a zero of f(x).

• {-1, -4 ± i√2}

• {-1, 4 ± i√2}

• (-1, 4, ± 2i}

• {-1, 4}

Find the zeros of this polynomial and describe their multiplicity.
f(x) = 3x⁴ - 12x²

• 0 multiplicity 3, -2 multiplicity 1, 2 multiplicity 1

•  -2 multiplicity 1, 2 multiplicity 1

• 0 multiplicity 2, -2 multiplicity 1, 2 multiplicity 1

• 3 multiplicity 4, -12 multiplicity 2

Tags

CCSS.HSF-IF.C.7C

Possible factored form of f(x)

Tags

CCSS.HSA.APR.B.3

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

• x = -3

• x = 3

• x = 0

• cannot be determined

Tags

CCSS.HSA.APR.B.2

When setting up this synthetic division to divide 2x⁴ + 3x² - x + 2 by (x - 1), what number goes into the red circle?

• -1

• 1

• 2

• cannot be determined

Tags

CCSS.HSA.APR.D.6