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What is the product of the polynomials? (2x^2-x+1)( x-3)

PLEASE EXPLAIN CORRECTLY!!

Answer Choices:

A) 2x^3-7x^2+4x-3
B) 2x^3-7x^2+3x-3
C) 2x^3-6x^2+3x-3
D) 2x^3-6x^2+4x-3

Respuesta :

DeanR

[tex] (2x^2 - x + 1)(x - 3) [/tex]

We multiply 2x^2 - x + 1 by x and by -3 and add it all up:

[tex] (2x^2 - x + 1)(x - 3) = 2x^3 - x^2 + x - 6x^2 + 3x - 3 [/tex]

[tex] = 2x^3 - 7x^2 + 4x - 3 [/tex]

Answer: A

Answer:

2x^3 - 7x^2 + 4x - 3.

Step-by-step explanation:

(2x^2-x+1)( x-3)

= x(2x^2 - x + 1) - 3(2x^2 - x + 1)

= 2x^3 - x^2 + x - 6x^2 + 3x - 3

= 2x^3 - 7x^2 + 4x - 3.