Simplify the expression. What classification describes the resulting polynomial?(3x2 − 11x − 4) − (2x2 − x − 6)
Question
Simplify the expression. What classification describes the resulting polynomial?
Solution
To simplify the expression, we need to subtract the second polynomial from the first.
The expression is: (3x^2 − 11x − 4) − (2x^2 − x − 6)
Step 1: Remove the parentheses. To do this, we distribute the negative sign to each term in the second parentheses:
= 3x^2 − 11x − 4 - 2x^2 + x + 6
Step 2: Combine like terms.
= (3x^2 - 2x^2) + (-11x + x) + (-4 + 6)
= x^2 - 10x + 2
So, the simplified expression is x^2 - 10x + 2.
The resulting polynomial is a quadratic polynomial because its highest degree is 2.
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