Respuesta :

Answer:

2z^3 - 5z^2 + 4z - 1

Step-by-step explanation:

(2z - 1)(z^2 – 2z+ 1) =

= 2z^3 - 4z^2 + 2z - z^2 + 2z - 1

= 2z^3 - 5z^2 + 4z - 1

The polynomial in standard form will be 2z³ – 5z² + 4z – 1.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The polynomial is given below.

⇒ (2z – 1)(z² – 2z+ 1)

Then the polynomial in standard form will be

⇒ (2z – 1)(z² – 2z + 1)

⇒ 2z(z² – 2z + 1)  – 1(z² – 2z + 1)

⇒ 2z³ – 4z² + 2z – z² + 2z – 1

⇒ 2z³ – 5z² + 4z – 1

More about the polynomial link is given below.

https://brainly.com/question/17822016

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