Polynomial Functions and Solving Polynomial Equations

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

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Factor this difference of cubes:
x³ - 343

• (x + 7)(x² - 7x + 49)

• (x - 7)(x - 7)(x - 7)

• (x - 7)(x² + 7x + 49)

• (x + 7)(x + 7)(x + 7)

What are the zeros of the function?

• 4, 1

• -3, -1, 2, 5

• -3, -1, 30, 2, 5

• 3, 1, -2, -5

• 2

• 3

• 4

• 6

Write the factored form of the polynomial with roots x=-2. x=5, x=2/3

• y=(x-2)(x+5)(3x+2)

• y=(x-2)(x+5)(2x+3)

• y=(x+2)(x-5)(2x-3)

• y=(x+2)(x-5)(3x-2)

Which of the following is the correct equation for the function graphed?

What is the equation in factored form of the function graphed?

Which is a possible equation in factored form of the function in the graph?

• 6

• 7

• 5

• 3