Number and Types of Polynomial Roots

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

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• 
• 
• 

Which of these is a possible rational root of the polynomial?

2x³ - 6x² - x + 10

• 0

• 4

• -9

• -5

If 2i is a root, then

• 2i repeats twice

• -2i is also root

• 1-2i is also a root

• 0+2i is also a root

Write a cubic polynomial in standard form with roots 3 and 4i

• x³-3x²+16x-48

• x³-8x²-3x+52

• x³+3x²+3x+1

• x³+3x²-16x+48

Find all the roots of y=x³-2x²+4x-8

• -2, 2i, -2i

• 2, 2i, -2i

• 2,-2, 2i

• 1, 2i, 4

• 2 real roots, no imaginary

• 3 real roots, 1 imaginary

• 2 real roots, 2 imaginary

• 3 real roots, no imaginary

Find the zeros

y = -3(5x - 4)²(x - 5)(x)

• 5, 4, 4/5, 0

• 5, 4/5, 0

• 0, 5, 4, 4/5, -2

• 5, 4, 4/5, -2, 0, 1

What are the zeros of the polynomial function P\left(x\right)=x\left(x-1\right)\left(x+2\right)\left(x-3\right) ?

• 1, 2, 3

• 0, 1, 2, 3

• 0, -1, 2, -3

• 0, 1, -2, 3

If the zeros of a polynomial are -1, 3, and 7 then what does the polynomial look like in factored form?

FIND THE ZEROS/ROOTS

P(x)= x⁵-5x³+4x=0

• 1,-1,2,-2,0

• 1,2 multiplicity 2, -1, -2

• 0,±1,±2

• 1,-1,2,4,-4