Find the Zeros of a Function Using the Calculator

How could you determine if 2 is a zero of f(x) = 2x³-5x²+x-2?

• Find that f(2) = 2.

• Find f(2) = 1.

• Find f(2) = 0.

• Not enough info to tell.

Tags

CCSS.HSF-IF.C.7C

Which of the following methods cannot be used to determine the zeros of a polynomial?

• Evaluated to get 0.

• x-intercepts when graphed

• Synthetic Division remainder of 0.

• end behavior

Tags

CCSS.HSF-IF.C.7C

Find all the real zeros of the function

f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Using the calculator, find all rational zeros. Then write as a product of factors:

x³-12x²+47x-60=0.

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

Using the calculator, find all rational zeros. Then list all of the zeros here. One zero has been given.

f(x) = x³-3x²-x+3; 3

• 2,4,3

• -1,1,3

• 3,2,1

• 4,5,6

Tags

CCSS.HSF-IF.C.7C

Find all rational zeros, one zero has been given.
f(x) = x³-5x²-2x+24;   -2

• -2,1,0
• -2,-3,-4
• 4,3,-2
• 0,0,0

Using the calculator, what are the zeros of x² -16x + 48?

• 12, 4

• -6, 8

• -12, 4

• 16, 3

Tags

CCSS.HSA-REI.B.4B

Factor f(x)= x³ - 2x²-13x - 10  given that
(x - 5) is one factor.

• (x- 5)(x - 1)(x - 2)
• (x - 5)(x + 2)(x - 2)
• (x - 5)(x + 2) (x + 1)
• (x - 5)(2x - 13)

Tags

CCSS.HSA.APR.B.2

Find all zeroes given a factor of (x+3).

f(x) = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Find all solutions of f(x) =x³-3x²-25x+75.

• 5,-3,5

• 5,5,5

• 3,-5,5

• 1,1,1

Tags

CCSS.HSF-IF.C.7C