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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

If s(x) = 2x^2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) =

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE If sx 2x2 3x 4 and tx x 4 then sx tx class=

Respuesta :

Answer:

A) 2x³+11x²+8x-16

Step-by-step explanation:

When you multiply s(x) by t(x) you get something like this:

[tex]s(x) \times t(x) = (2 {x}^{2} + 3x - 4) \times (x + 4) \\ = 2 {x}^{3} + 3 {x}^{2} - 4x + 8 {x}^{2} + 12x - 16 \\ = 2 {x}^{3} + 11 {x}^{2} + 8x - 16[/tex]

Answer:  A) 2x³ + 11x² + 8x - 16

Step-by-step explanation:

s(x) · t(x) = (x + 4)(2x² + 3x - 4)

             = x(2x² + 3x - 4) + 4(2x² + 3x - 4)

             =   2x³ + 3x² - 4x  + 8x² + 12x - 16

             =   2x³  + (3x² + 8x²) + (- 4x + 12x) - 16

             =  2x³          + 11x²              + 8x      - 16