Question

Add polynominals (3-4 x + 8x^2) + (-6+2x-5x^2)

Answer 1

`\bf \implies \: {3x}^(2) - 2x - 3 \\`

Explanation:

`\bf \longrightarrow(3 - 4x + {8x}^(2)) + ( - 6 + 2x - {5x}^(2)) \\ \\ \bf \longrightarrow3 + - 4x + {8x}^(2) + - 6 + 2x + - {5x}^(2) \\ \\ \bf \longrightarrow( {8x}^(2) + - {5x}^(2) ) + ( - 4x + 2x) + (3 + - 6) \\ \\ \bf \longrightarrow {3x}^(2) + - 2x + - 3 \\ \\ \bf \longrightarrow \boxed{{3x}^(2) - 2x - 3} \: ans.`

Answer 2

Explanation:

The sum of the polynomials in the equation is 3x² - 2x - 3

Explanation:

(3 - 4x + 8x²) + (-6 + 2x - 5x²)

Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.

3 - 4x + 8x² - 6 + 2x - 5x²

Combine like terms.

- 3 - 2x + 3x²

Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.

3x² - 2x - 3