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Multiplying Polynomials and Simplifying Expressions
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yt vids C Campus Student IXL-Dewe
Multiplying a Binomial by a Trinomial Using the Dist
Property
Find the product of (4z²+7z-8) and (-z + 3).
The product of (4z² + 7z - 8) and (-z + 3) is -4z³
z²+z-24.

Answer 1

To find the product of two polynomials, multiply each term of the first polynomial by each term of the second polynomial using the distributive property.

Step-by-step explanation:

To find the product of two polynomials, we can use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial. For the given problem, we have:

(4z² + 7z - 8) * (-z + 3)

Using the distributive property, we multiply (-z + 3) by each term in (4z² + 7z - 8):

(-z + 3) * 4z² + (-z + 3) * 7z + (-z + 3) * (-8)

Simplifying each term, we get:

-4z³ + 7z² + 25z - 24

So, the product of (4z² + 7z - 8) and (-z + 3) is -4z³ + 7z² + 25z - 24.

Learn more about Multiplying Polynomials