Questions: Multiply the polynomial by the monomial using the distributive property and/or the product rule of exponents. (2) (-2x^2+x-8)

Multiply the polynomial by the monomial using the distributive property and/or the product rule of exponents. (2) (-2x^2+x-8)
Transcript text: 5.5 Multiplying Polynomials Lesson 5.5 Multiplying Polynomia https//learn.hawkesleaming.com/Portal/Lesson/lesson_practice\# Save \& Exit Practice Lesson: 5.5 Multiplying Polynomials 4/11 Question 5 of 11. Step 1 of 1 Correct Multiply the polynomial by the monomial using the distributive property and/or the product rule of exponents. (2) $\left(-2 x^{2}+x-8\right)$ Tutor Send to instructor
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Solution

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Solution Steps

Step 1: Distribute the monomial

Distribute the monomial 2 to each term inside the parentheses:

(2)(-2x² + x - 8) = (2)(-2x²) + (2)(x) + (2)(-8)

Step 2: Simplify each term

Multiply the coefficients of each term:

(2)(-2x²) + (2)(x) + (2)(-8) = -4x² + 2x - 16

Final Answer:

-4x² + 2x - 16

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