Finding Zeros of Polynomials Given One

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)

• x= -5, (3/2), (-4/7), 6

• x= 5, (-3/2), (4/7), -6

• x= 6, 5, -2/3, -4/7

Tags

CCSS.HSF-IF.C.7C

How many total roots/zeros are there in the polynomial.   

• A

• B

• C

• D

Which of the following is NOT a possible rational zero for p(x). 

• A

• B

• C

• D

Find all the zeros of the polynomial. 

• A

• B

• C

• D

A polynomial function is shown below in factored form. Which of these statements are true? The function has exactly ​ (a)   zeros. The graph of the function has an x-intercept at ​ ​ (b)   .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)

Tags

CCSS.HSF-IF.C.7C

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7C

A function is shown below. What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

A polynomial function is shown below in factored form. f\left(x\right)=5\left(2x+3\right)\left(x+4\right)\left(x-2\right) Which of these statements are true? The function has exactly ​ zeros. The graph of the function has an x-intercept at ​ .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)

Tags

CCSS.HSF-IF.C.7C

A function is shown below. H\left(x\right)=4x^3-5x^2-23x+6 What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7C

A polynomial function is shown below in factored form. f\left(x\right)=5\left(2x+3\right)\left(x+4\right)\left(x-2\right) Which of these statements are true? The function has exactly ​ (a)   zeros. The graph of the function has an x-intercept at ​ ​ (b)   .

• 3

• (2, 0)

• 4

• 5

• 2

• (4, 0)

• (0, 0)

Tags

CCSS.HSF-IF.C.7C