Question

Express your answer as a polynomial in standard form.
f(x) = x² + x - 1
g(x) = -3x+12
Find: g(f(x))

Answer 1

The standard form of the given polynomials is 9x² - 75x + 155

What is Polynomial?

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer.

Here, the given equations are:

f(x) = x² + x - 1

g(x) = -3x + 12

Now,

g(f(x)) = g(-3x + 12)

         = (-3x + 12)²+(-3x + 12)-1

         = 9x² + 144 - 72x - 3x + 12 - 1

         = 9x² - 75x + 155

Thus, the standard form of the given polynomials is 9x² - 75x + 155.

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