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Expand the expression to a polynomial in standard form:left bracket, 2, x, plus, 1, right bracket, left bracket, minus, 3, x, squared, minus, 6, x, minus, 4, right bracket(2x+1)(−3x 2 −6x−4)

Question

Expand the expression to a polynomial in standard form:left bracket, 2, x, plus, 1, right bracket, left bracket, minus, 3, x, squared, minus, 6, x, minus, 4, right bracket(2x+1)(−3x 2 −6x−4)

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Solution

To expand the expression to a polynomial in standard form, we need to distribute each term in the first bracket to each term in the second bracket.

First, distribute 2x to each term in the second bracket:

2x * -3x^2 = -6x^3 2x * -6x = -12x^2 2x * -4 = -8x

Then, distribute 1 to each term in the second bracket:

1 * -3x^2 = -3x^2 1 * -6x = -6x 1 * -4 = -4

Now, combine like terms:

-6x^3 - 12x^2 - 8x - 3x^2 - 6x - 4

This simplifies to:

-6x^3 - 15x^2 - 14x - 4

So, the expression (2x+1)(−3x^2 −6x−4) expands to -6x^3 - 15x^2 - 14x - 4 in standard form.

This problem has been solved

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