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

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

• x-intercept

• zero

• root

• all of these.

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

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. 

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

Possible factored form of f(x)

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

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