Question

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Question
W
Expand the expression to a polynomial in standard form:
(4x - 5) (x² + 4x + 1)
Answer Attempt 1 out of 2

Answer 1

To expand the given expression to a polynomial in standard form, we use the distributive property and combine like terms.

Step-by-step explanation:

To expand the expression (4x - 5) (x² + 4x + 1) to a polynomial in standard form, we need to use the distributive property. First, multiply the first term of the first expression (4x - 5) by each term in the second expression (x² + 4x + 1). Then, multiply the second term of the first expression by each term in the second expression. Finally, combine like terms to simplify the expression.

Let's go through the steps:

1. Multiply 4x by x², 4x, and 1
2. Multiply -5 by x², 4x, and 1
3. Combine like terms to simplify the expression

After going through these steps, we get the expanded expression 4x³ + 11x² - 16x - 5 in standard form.

Learn more about Expanding expressions