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A. Rod told you that x + 1 is one of the factors of ax2 – a. Do you agree with him? Why or why not? Write down your step-by-step way of factoring this kind of polynomial. Your answer will be assessed according to this rubrics

A Rod told you that x 1 is one of the factors of ax2 a Do you agree with him Why or why not Write down your stepbystep way of factoring this kind of polynomial class=

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sunnylabbe78

Answer:

[tex]a {x}^{2} - a[/tex]

then you multiple the a's

[tex] {x}^{2} - {a}^{2} [/tex]

use square root factor

[tex] \sqrt{ {x}^{2} } + - { \sqrt{a} }^{2} [/tex]

which makes

[tex](x - a)(x + a)[/tex]

then you divide the a by a to get

[tex](x + 1)(x - 1)[/tex]

so yes x + 1 is a factor

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