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expression to a polynomial in standard fo

(-4x-3)(3x^(2)-x-1)
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Penalty: $1$ off $\newline$ Watch Video $\newline$ expression to a polynomial in standard fo $\newline$ $(-4 x-3)\left(3 x^{2}-x-1\right)$ $\newline$ Attempt $1$ out of $2$

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Composition of linear functions: find an equation

Full solution

Q. Penalty:

1

off

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Watch Video

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expression to a polynomial in standard fo

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(-4 x-3)\left(3 x^{2}-x-1\right)

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Attempt

1

out of

2

Distribute Terms First Polynomial: Distribute each term of the first polynomial $(-4x-3)$ to each term of the second polynomial $(3x^{2}-x-1)$ . $\newline$ First, distribute $-4x$ to each term in the second polynomial: $\newline$ $-4x \times 3x^{2} = -12x^{3}$ $\newline$ $-4x \times (-x) = 4x^{2}$ $\newline$ $-4x \times (-1) = 4x$
Distribute Terms Second Polynomial: Now, distribute $-3$ to each term in the second polynomial: $\newline$ $-3 \times 3x^{2} = -9x^{2}$ $\newline$ $-3 \times (-x) = 3x$ $\newline$ $-3 \times (-1) = 3$
Combine Distributed Terms: Combine the results from Step $1$ and Step $2$ to add all the like terms together. $\newline$ $-12x^{3} + 4x^{2} + 4x - 9x^{2} + 3x + 3$
Simplify Expression: Combine the like terms to simplify the expression. $\newline$ $-12x^{3} + (4x^{2} - 9x^{2}) + (4x + 3x) + 3$ $\newline$ $-12x^{3} - 5x^{2} + 7x + 3$

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