QuestionAugust 26, 2025

Select the polynomial expression that is equivalent to 5x^3+7x-4x^2+5 13x^5 5x^3+4xtimes 2+7x+5 5+4x-7x^2+5x^3 5+7x-4x^2+5x^3 5x^3+4x^2-7x-5

Select the polynomial expression that is equivalent to 5x^3+7x-4x^2+5 13x^5 5x^3+4xtimes 2+7x+5 5+4x-7x^2+5x^3 5+7x-4x^2+5x^3 5x^3+4x^2-7x-5
Select the polynomial expression that is equivalent to
5x^3+7x-4x^2+5
13x^5
5x^3+4xtimes 2+7x+5
5+4x-7x^2+5x^3
5+7x-4x^2+5x^3
5x^3+4x^2-7x-5

Solution
4.2(258 votes)

Answer

5 + 7x - 4x^{2} + 5x^{3} Explanation 1. Simplify the original expression The original expression is 5x^{3} + 7x - 4x^{2} + 5. It is already simplified. 2. Compare with given options Compare each option to see which matches the original expression: - 13x^{5} does not match. - 5x^{3} + 4x \times 2 + 7x + 5 simplifies to 5x^{3} + 8x + 7x + 5 = 5x^{3} + 15x + 5, which does not match. - 5 + 4x - 7x^{2} + 5x^{3} matches after rearranging terms to 5x^{3} - 7x^{2} + 4x + 5. - 5 + 7x - 4x^{2} + 5x^{3} matches exactly when rearranged as 5x^{3} - 4x^{2} + 7x + 5. - 5x^{3} + 4x^{2} - 7x - 5 does not match.

Explanation

1. Simplify the original expression<br /> The original expression is $5x^{3} + 7x - 4x^{2} + 5$. It is already simplified.<br />2. Compare with given options<br /> Compare each option to see which matches the original expression:<br />- $13x^{5}$ does not match.<br />- $5x^{3} + 4x \times 2 + 7x + 5$ simplifies to $5x^{3} + 8x + 7x + 5 = 5x^{3} + 15x + 5$, which does not match.<br />- $5 + 4x - 7x^{2} + 5x^{3}$ matches after rearranging terms to $5x^{3} - 7x^{2} + 4x + 5$.<br />- $5 + 7x - 4x^{2} + 5x^{3}$ matches exactly when rearranged as $5x^{3} - 4x^{2} + 7x + 5$.<br />- $5x^{3} + 4x^{2} - 7x - 5$ does not match.
Click to rate: