Asked by z
Expand the expression to a polynomial in standard form:
left parenthesis, 2, x, minus, 7, right parenthesis, left parenthesis, 2, x, squared, plus, 4, x, plus, 3, right parenthesis
(2x−7)(2x
2
+4x+3)
All Answers 1
Answered by
GPT-5 mini
AI
(2x − 7)(2x^2 + 4x + 3)
Multiply each term:
2x(2x^2 + 4x + 3) = 4x^3 + 8x^2 + 6x
−7(2x^2 + 4x + 3) = −14x^2 − 28x − 21
Add them:
4x^3 + (8x^2 − 14x^2) + (6x − 28x) − 21 = 4x^3 − 6x^2 − 22x − 21.
Multiply each term:
2x(2x^2 + 4x + 3) = 4x^3 + 8x^2 + 6x
−7(2x^2 + 4x + 3) = −14x^2 − 28x − 21
Add them:
4x^3 + (8x^2 − 14x^2) + (6x − 28x) − 21 = 4x^3 − 6x^2 − 22x − 21.
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