The expression 2x(3x^2-4x)+3(x^2-4x+6) can be written in the form ax^3 + bx^2 + cx + d. Find the value of a,b,c,and d (simplify expression first)

asked Dec 11, 2021 47.8k views

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The expression 2x(3x^2-4x)+3(x^2-4x+6) can be written in the form ax^3 + bx^2 + cx + d.

Find the value of a,b,c,and d (simplify expression first)

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Answer:

$2x(3 {x}^(2) - 4x) + 3( {x}^(2) - 4x + 6) \\ 6 {x}^(3) - 8 {x}^(2) + 3 {x}^(2) - 12x + 18 \\ 6 {x}^(3) - 5 {x}^(2) - 12x + 18$

$a = 6 \\ b = -5 \\ c =- 12 \\ d = 18$

Adamax answered Dec 16, 2021

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