Determine the resulting polynomial: F(x)=2x+6 g(x)=6^2-x+10 find:f(x) . g(x)

1 answer

To find the resulting polynomial of f(x) * g(x), we need to multiply the two polynomials together:

f(x) = 2x + 6
g(x) = 6^2 - x + 10

Multiplying the polynomials gives us:

f(x) * g(x) = (2x + 6) * (36 - x + 10)
= (2x * (36 - x)) + (2x * 10) + (6 * (36 - x)) + (6 * 10)
= (72x - 2x^2) + (20x) + (216 - 6x) + 60
= -2x^2 + 86x + 276

Therefore, the resulting polynomial is -2x^2 + 86x + 276.