Find Zeros and Roots of Polynomials

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

Use the Rational Root Theorem to determine the list of possible rational roots.

• A

• B

• C

• D

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

• A

• B

• C

• D

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

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

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

• -1, ⅓, ±3i

• ½, -1, ±3i

• 1, -1, ±i√11

• 1, -1, ±3i

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7C

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial
P(x) = x³ -3x²-5x+15

• 3, √5 

• √5, -√5

• -3, √5, -√5

• -3, 5i, -5i