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Answered

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Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differently.

Sagot :

abidemiokin

The factored form of the expression [tex]x^2 - 9[/tex] is [tex](x+3)(x-3)[/tex]

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function [tex]x^2-9 \ and \ x^2+9[/tex]

For the function [tex]x^2 - 9[/tex]

[tex]=x^2-9\\=x^2-3^2[/tex]

Using the difference of two squares:

[tex]a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)[/tex]

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

Learn more on factorization here: https://brainly.com/question/20293447

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