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type the correct answer in each box. use numerals instead of words. sim…

Question

type the correct answer in each box. use numerals instead of words. simplify the following polynomial expression. $(-4x^{2}+17x + 9)-(-13x^{2}+5x + 16)$ $\underline{quad}x^{2}+\underline{quad}x + \underline{quad}$ reset submit

Explanation:

Step1: Distribute the negative sign

$(-4x^2 + 17x + 9) + 13x^2 - 5x - 16$

Step2: Combine $x^2$ terms

$-4x^2 + 13x^2 = 9x^2$

Step3: Combine $x$ terms

$17x - 5x = 12x$

Step4: Combine constant terms

$9 - 16 = -7$

Answer:

$9x^2 + 12x - 7$
The blanks are filled with 9, 12, and -7 respectively.