Question

Which polynomial is equivalent to (3z + 1)(z + 1)?????????

Answer 1

The polynomial 3z² + 4z + 1 is equivalent to (3z + 1)(z + 1) ⇒ answer B

Step-by-step explanation:

Let us explain how to find the product of two binomials

1. Multiply the 1st term in the 1st bracket by the 1st term in the 2nd

   bracket

2. Multiply the 1st term in the 1st bracket by the 2nd term in the 2nd

   bracket

3. Multiply the 2nd term in the 1st bracket by the 1st term in the 2nd

   bracket

4. Multiply the 2nd term in the 1st bracket by the 2nd term in the 2nd

   bracket

5. Add like terms

∵ (3z + 1)(z + 1)

∵ (3z)(z) = 3z²

∵ (3z)(1) = 3z

∵ (1)(z) = z

∵ (1)(1) = 1

∴ (3z + 1)(z + 1) = 3z² + 3z + z + 1

- Add like terms

∴ 3z² + 4z + 1

The polynomial 3z² + 4z + 1 is equivalent to (3z + 1)(z + 1)

Learn more:

You can learn more about polynomials in brainly.com/question/4142886

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