Find the product. Simplify your answer. 3x(-4x^2 + 6) ______

Simplify 3x(-4x^2): Now, let's simplify 3x(-4x^2). 3x(-4x^2) = -12x^3 We multiply the coefficients (3 and -4) and add the exponents of x (1 and 2) to get the new term.Simplify 3x(6): Next, we simplify 3x(6). 3x(6) = 18x We multiply the coefficient 3 by 6 and keep the x term.Combine simplified terms: Combining the two simplified terms, we get the final simplified expression. 3x(-4x^2 + 6) = -12x^3 + 18x

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Find the product. Simplify your answer. $\newline$ $3x(-4x^2 + 6)$

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Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

3x(-4x^2 + 6)

Simplify $3x(-4x^2)$ : Now, let's simplify $3x(-4x^2)$ . $\newline$ $3x(-4x^2) = -12x^3$ $\newline$ We multiply the coefficients ( $3$ and $-4$ ) and add the exponents of $x$ ( $1$ and $2$ ) to get the new term.
Simplify $3x(6)$ : Next, we simplify $3x(6)$ . $\newline$ $3x(6) = 18x$ $\newline$ We multiply the coefficient $3$ by $6$ and keep the $x$ term.
Combine simplified terms: Combining the two simplified terms, we get the final simplified expression. $3x(-4x^2 + 6) = -12x^3 + 18x$