6
QuizMultiple Choice

Multiplying Polynomials and Simplifying Expressions

Question 6 • FL-1200700-Mathematics for College Algebra MIS

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)Which is the simplified product?

Answer
A
2x3 + 6x2 – x – 6
B
2x3 + x2 – x – 6
C
2x3 + 5x2 – x – 6
D
2x3 – x2 – 7x – 6

Explanation

Multiply each term: (2x)(x²) = 2x³, (2x)(x) = 2x², and (2x)(−2) = −4x. The remaining products are 3x², 3x, and −6; combine like terms to get 2x³ + 5x² − x − 6. This matches choice C.

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