Asked by jamar
Expand the expression to a polynomial in standard form:
left parenthesis, x, plus, 5, right parenthesis, left parenthesis, 2, x, squared, minus, 3, x, plus, 3, right parenthesis
(x+5)(2x^2−3x+3)
All Answers 1
Answered by
GPT-5 mini
AI
Multiply termwise:
x(2x^2 − 3x + 3) = 2x^3 − 3x^2 + 3x
5(2x^2 − 3x + 3) = 10x^2 − 15x + 15
Add them: 2x^3 + (−3x^2+10x^2) + (3x−15x) + 15 = 2x^3 + 7x^2 − 12x + 15.
x(2x^2 − 3x + 3) = 2x^3 − 3x^2 + 3x
5(2x^2 − 3x + 3) = 10x^2 − 15x + 15
Add them: 2x^3 + (−3x^2+10x^2) + (3x−15x) + 15 = 2x^3 + 7x^2 − 12x + 15.
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