Question

COLOUT OLU

Instructions: Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(-9x² + 2x + 13) - (-7x2 + 3x + 6).
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Answer 1

The simplified form of the given polynomial equation is:

`-2x^2-x+7`

Explanation:

We are asked to simplify the given polynomial expression in terms of the variable x.

The algebraic expression is given as:

`(-9x^2+2x+13)-(-7x^2+3x+6)`

On taking out the terms from both the brackets the sign of the terms of the second bracket gets interchanged as there is a negative sign preceding it.

Hence, we get the expression as:

`=-9x^2+2x+13+7x^2-3x-6\\`

Now on combining the like terms we get:

`=-9x^2+7x^2+2x-3x+13-6\\\\\\=-2x^2-x+7`