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.

First, distribute -4x to each term in the second bracket:

-4x * 3x^2 = -12x^3
-4x * -2x = 8x^2
-4x * -1 = 4x

Then, distribute 5 to each term in the second bracket:

5 * 3x^2 = 15x^2
5 * -2x = -10x
5 * -1 = -5

Now, combine like terms:

-12x^3 + 8x^2 + 4x + 15x^2 - 10x - 5

This simplifies to:

-12x^3 + 23x^2 - 6x - 5

So, the expression (−4x+5)(3x^2 −2x−1) expands to -12x^3 + 23x^2 - 6x - 5 in standard form.

Question

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.

First, distribute -4x to each term in the second bracket:

-4x * 3x^2 = -12x^3
-4x * -2x = 8x^2
-4x * -1 = 4x

Then, distribute 5 to each term in the second bracket:

5 * 3x^2 = 15x^2
5 * -2x = -10x
5 * -1 = -5

Now, combine like terms:

-12x^3 + 8x^2 + 4x + 15x^2 - 10x - 5

This simplifies to:

-12x^3 + 23x^2 - 6x - 5

So, the expression (−4x+5)(3x^2 −2x−1) expands to -12x^3 + 23x^2 - 6x - 5 in standard form.

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