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 3x to each term in the second bracket:

3x * 3x^2 = 9x^3
3x * -5x = -15x^2
3x * 3 = 9x

Then, distribute 7 to each term in the second bracket:

7 * 3x^2 = 21x^2
7 * -5x = -35x
7 * 3 = 21

Now, add all the terms together:

9x^3 - 15x^2 + 9x + 21x^2 - 35x + 21

Combine like terms:

9x^3 + ( -15x^2 + 21x^2) + (9x - 35x) + 21

This simplifies to:

9x^3 + 6x^2 - 26x + 21

So, the expression (3x+7)(3x^2−5x+3) expands to the polynomial 9x^3 + 6x^2 - 26x + 21 in standard form.

Question

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 3x to each term in the second bracket:

3x * 3x^2 = 9x^3
3x * -5x = -15x^2
3x * 3 = 9x

Then, distribute 7 to each term in the second bracket:

7 * 3x^2 = 21x^2
7 * -5x = -35x
7 * 3 = 21

Now, add all the terms together:

9x^3 - 15x^2 + 9x + 21x^2 - 35x + 21

Combine like terms:

9x^3 + ( -15x^2 + 21x^2) + (9x - 35x) + 21

This simplifies to:

9x^3 + 6x^2 - 26x + 21

So, the expression (3x+7)(3x^2−5x+3) expands to the polynomial 9x^3 + 6x^2 - 26x + 21 in standard form.

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