Question

(Score:

of 5 points)
3. Multiply the polynomials (4x2 - 2x + 3) (3x³ + 5x²-x). Simplify the answer.
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Answer:

Answer 1

To multiply the polynomials, we distribute each term and then combine like terms.

Step-by-step explanation:

To multiply the polynomials (4x2 - 2x + 3) (3x3 + 5x2 -x), we need to distribute each term in the first polynomial to every term in the second polynomial, and then combine like terms.

First, multiply each term of the first polynomial by the entire second polynomial:

• (4x2 - 2x + 3) * 3x3 = 12x5 - 6x4 + 9x3
• (4x2 - 2x + 3) * 5x2 = 20x4 - 10x3 + 15x2
• (4x2 - 2x + 3) * -x = -4x3 + 2x2 - 3x

Next, combine the like terms by adding or subtracting them:

12x5 - 6x4 + 9x3 + 20x4 - 10x3 + 15x2 - 4x3 + 2x2 - 3x

Combine the terms with the same exponent and arrange them in descending order:

12x5 + (20x4 - 6x4) + (9x3 - 4x3 - 10x3) + (15x2 + 2x2) - 3x

Simplify each group of combined terms:

12x5 + 14x4 - 5x3 + 17x2 - 3x

The simplified answer is 12x5 + 14x4 - 5x3 + 17x2 - 3x

Learn more about Multiplying polynomials