Respuesta :

Multiply everything in the second parenthesis by x.

-3x^3 + 3x^2 + x

Multiply everything in the second parenthesis by 2.

-6x^2 + 6x + 2

Combine these two equations together.

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

Combine like terms.

-3x^3 - 3x^2 + 7x + 2

Hope this helps!
abidemiokin

Option C is correct. The required product of the functions is  -3x³ - 3x² + 7x + 2

Given the functions (x+2) and (-3x² + 3x + 1)

Taking the product of the functions:

= (x+2)(-3x² + 3x + 1)

Expand the bracket

= x(-3x²) + x(3x) + x(1) + 2(-3x²) + 2(3x) + 2(1)

= -3x³ + 3x² + x - 6x² + 6x + 2

Collect the like terms;

= -3x³ + 3x² - 6x²+ x + 6x + 2

= -3x³ - 3x² + 7x + 2

Hence the required product of the functions is  -3x³ - 3x² + 7x + 2

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