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  • 12-01-2022
  • Mathematics
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Simplify the expression to a polynomial in standard form:
(-x+3)(x2 - 4x - 6)
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  • 12-01-2022

Answer:

[tex]-x^3+7x^2-6x-18[/tex]

Step-by-step explanation:

Use distributive property: [tex](-x+3)(x^2-4x-6)[/tex]

What is -x * x^2? Answer: -x^3

What is 3 * x^2? Answer: +3x^2

What is -x * -4x? Answer: +4x^2

What is 3* -4x? Answer: -12x

What is -x * -6? Answer: +6x

What is 3 * -6? Answer: -18

[tex]-x^3+3x^2+4x^2-12x+6x-18[/tex]

Combine like terms, and your answer would be....

[tex]-x^3+7x^2-6x-18[/tex]

Hope this helps :)

Have a great day!

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