Question

question
expand the expression to a polynomial in standard form:
$(4x^2 + x + 2)(-3x^2 + 4x - 1)$
answer
answer: i will
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Explanation:

Step1: Distribute first polynomial terms

$4x^2(-3x^2+4x-1) + x(-3x^2+4x-1) + 2(-3x^2+4x-1)$

Step2: Expand each product

$=-12x^4 + 16x^3 - 4x^2 -3x^3 +4x^2 -x -6x^2 +8x -2$

Step3: Combine like terms

$=-12x^4 + (16x^3-3x^3) + (-4x^2+4x^2-6x^2) + (-x+8x) -2$

Step4: Simplify each term group

$=-12x^4 +13x^3 -6x^2 +7x -2$

Answer:

$-12x^4 + 13x^3 - 6x^2 + 7x - 2$