Solving Polynomials Given a Root

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Find all rational zeros, one zero has been given.
f(x) = x³-3x²-x+3;   3

• 2,4,3

• -1,1,3

• 3,2,1

• 4,5,6

One zero of 4x³-17x²-150x-189 is 9.
What is another zero?

• 4

• 7

• -3

• -6

One zero of 3x³-4x²-28x-16 is 4.
What is another zero?

• 8

• -2

• 6

• 1

A theorem that guaranteed that there is at least a root in the interval is

• Rolle's Theorem

• Extreme Value Theorem

• Intermediate Value Theorem

Find the remaining factors given one factor:

(x³ +x² -17x +15) ; (x -1)

• (x-1) (x+5) (x-3)

• (x-1) (x+5) (x + 3)

• (x+1) (x+5) (x-3)

• (x+1) (x-5) (x-3)

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 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. 

• x=-5, 10, -3

• x= 5 , -10 , -3

Given the zeros of a polynomial, write it in factored form.

• (x-1)(x-6)(x+8)

• (x+1)(x-6)(x-8)