Understanding zeroes and factors of polynomials

If the x- intercepts of a cubic polynomial are (-2,0)(0,0)(5,0), the possible function would be:

• f(x) = (x - 2)(x + 5)
• f(x) = x(x - 2)(x + 5)
• f(x) = x(x + 2)(x - 5)
• f(x) = x²(x +2)(x - 5)

• $y=\left(x+5\right)\left(x+2\right)$

• $y=\left(x+5\right)\left(x+2\right)^2$

• $y=\left(x+5\right)^2\left(x+2\right)$

• $y=\left(x+5\right)^2\left(x+2\right)^2$

Which is the graph of  $y=-\left(x+11\right)^4\left(x+4\right)^2$  ?

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What are the factors of this function?

• (x + 3)(x + 2)(x - 1)

• (x - 3)(x - 2)(x + 1)

• (x + 5)

• (x + 5)(x - 5)

Which function(s) has imaginary zeros?

• h

• f, g

• f

• h, g

Write the equation in factored form of a graph with x - intercepts (zeros): 

x = 3/4, x = 6/7, x = 0

• x(4x - 3)(7x - 6)

• (4x - 3)(7x - 6)

• x(3x - 4)(7x - 6)

• x(3x - 4)(6x - 7)

Which graph has factors of (x+1) and (x-3) ?

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Write a polynomial function with a leading coefficient of 2 and roots of -3, 7i

Factored Form

Answer explanation

Write a polynomial function of least degree for the given zeros:

• A

• B

• C

• D

Which graph has factors of (x+1) and (x-3) ?

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