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Expand the expression to a polynomial in standard form:left bracket, minus, 3, x, minus, 4, right bracket, left bracket, x, squared, plus, 3, x, minus, 5, right bracket(−3x−4)(x 2 +3x−5)

Question

Expand the expression to a polynomial in standard form:left bracket, minus, 3, x, minus, 4, right bracket, left bracket, x, squared, plus, 3, x, minus, 5, right bracket(−3x−4)(x 2 +3x−5)

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Solution

To expand the expression to a polynomial in standard form, you need to distribute each term in the first bracket to each term in the second bracket. Here's how you do it:

First, distribute -3x to each term in the second bracket: -3x * x^2 = -3x^3 -3x * 3x = -9x^2 -3x * -5 = 15x

Then, distribute -4 to each term in the second bracket: -4 * x^2 = -4x^2 -4 * 3x = -12x -4 * -5 = 20

Now, add all the terms together: -3x^3 - 9x^2 + 15x - 4x^2 - 12x + 20

Combine like terms: -3x^3 - 13x^2 + 3x + 20

So, the expression (−3x−4)(x^2 +3x−5) expands to -3x^3 - 13x^2 + 3x + 20 in standard form.

This problem has been solved

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