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Natalie Goodwin

Feb 20, 2025

If p(x) = 2×2 – 4x and q(x) = x – 3, what is mc007-1.jpg?

If p(x) = 2x2 – 4x and q(x) = x – 3, what is mc007-1.jpg?
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4 Answers

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Miss Alice Doyle

Feb 20, 2025

Recall that:(p∗q)(x)=p(x)∗q(x)ifp(x)=2x2−4xg(x)=x−3than:[2x2−4x][x−3]=2x3−2x2−4x2+12x=2x3−6x2+12x(p∗q)(x)=2x3−6x2+12x... Show More
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Miss Alice Doyle

Feb 20, 2025

P(x) = 2x² - 4xq(x) = x - 3To find the answer, we plug q(x) into p(x):p(q(x)) = 2(x - 3)² - 4(x - 3)p(q(x)) = 2(x² - 6x + 9) - 4x + 12p(q(x)) = 2x² - 12x + 18 - 4x + 12p(q(x)) = 2x² - 16x + 30The third option is correct.... Show More
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Miss Alice Doyle

Feb 20, 2025

P(x) = 2x² - 4xq(x) = x - 3To find the answer, we plug q(x) into p(x):p(q(x)) = 2(x - 3)² - 4(x - 3)p(q(x)) = 2(x² - 6x + 9) - 4x + 12p(q(x)) = 2x² - 12x + 18 - 4x + 12p(q(x)) = 2x² - 16x + 30The third option is correct.... Show More
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