Subtracting the polynomial $$ 5 x^{2}-6 x-3 $$ from another polynomial is equivalent to adding which of the following?

Question

UpStudy AI · Accepted Answer

To subtract the polynomial $$ 5x^{2} - 6x - 3 $$ from another polynomial, we can express this operation mathematically.

Let’s denote the other polynomial as $$ P(x) $$. The operation of subtracting $$ 5x^{2} - 6x - 3 $$ from $$ P(x) $$ can be written as:

$$
P(x) - (5x^{2} - 6x - 3)
$$

To simplify this expression, we can distribute the negative sign:

$$
P(x) - 5x^{2} + 6x + 3
$$

This is equivalent to adding the polynomial $$ - (5x^{2} - 6x - 3) $$ to $$ P(x) $$. Therefore, we can rewrite the expression as:

$$
P(x) + (-5x^{2} + 6x + 3)
$$

Thus, subtracting the polynomial $$ 5x^{2} - 6x - 3 $$ from another polynomial $$ P(x) $$ is equivalent to adding the polynomial $$ -5x^{2} + 6x + 3 $$.
Subtracting the polynomial $$ 5x^{2} - 6x - 3 $$ is the same as adding $$ -5x^{2} + 6x + 3 $$.

Subtracting the polynomial \( 5 x^{2}-6 x-3 \) from another polynomial is equivalent to adding which of the following?

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions