Alg 2 Mod 5 Polynomial Functions

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x+2)(x-2) 

• (x+4)(x+2)(x-2)

• (x-4)(x-2)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

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

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

• x = - 4, x = - 1, x = 1

• x = -1, x = 1, x = 4

• x = - 4 and x = 1

• x = - 3, x = 3, and x = 4

Tags

CCSS.HSF-IF.C.7C

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CCSS.HSA-REI.B.4B

A polynomial function has zeros at -1,2, and 7 (all multiplicity of 1). Write a function rule that could represent this function.

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CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients that has the given zeros.

5, -2i, and 2i

• x³-5x²+4x-20

• x³-5x²+4x-23

• x³-5x²+4x-19

• x³-10x²+4x-20

Tags

CCSS.HSA.APR.B.3

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CCSS.HSN.CN.C.9

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CCSS.HSA.APR.B.2

Q. Which of the following is a COMPLETE  list of all possible Rational Zeros?

f(x) = x³ + 2x² - 6x + 8

• ±1, ±8

• ±1, ±2, ±4

• ±1, ±2, ±4, ±8

• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2