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?(3x2 − 11x − 4) − (2x2 − x − 6)
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.
Similar Questions
Select the correct answer.Simplify the expression. What classification describes the resulting polynomial?(3x2 − 11x − 4) − (2x2 − x − 6) A. quadratic trinomial B. linear binomial C. quadratic binomial D. linear monomial
Select the correct answer.What is the simplified form of this expression?(-3x2 + 4x) + (2x2 − x − 11)
Expand the expression to a polynomial in standard form:left bracket, 2, x, minus, 3, right bracket, left bracket, 3, x, squared, minus, x, plus, 6, right bracket(2x−3)(3x 2 −x+6)
(2x 2 −4)−(−x 2 +3x−6)
Factor this polynomial completely.12x2 + x – 6A.(4x – 2)(2x + 3)B.(3x – 2)(4x + 3)C.(12x – 2)(x + 3)D.(12x – 3)(x + 2)
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