Which value of z will allow both polynomials to be factored? Explain your answer. x² - 6x + z
x² + 6x + z

z = 9 will allow both polynomials to be factored.

Step-by-step explanation:

Perfect square binomials:

For perfect square binomials, we have that:

x² - 6x + z

x² + 6x + z

First term of the binomial is x, and the second is:

Value of z:

The final term is a squared, so:

z = 9 will allow both polynomials to be factored.

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