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QUESTION

# How do you use synthetic substitution to evaluate P(x) = 4x^2 - 9x + 2 for x=3?

So first step is to create that L shaped box and write 3 outside of it.

The first number is the coefficient of the greatest power, or 4, since it's with x^2. Go in order, the next number should be the coefficient of x, and the next after that is x^0=1.

Pull the first number down without doing anything to it, then multiply that by the number outside the L so 4 * 3 = 12 take that answer and put it back in under the second coefficient and add them together -9 + 12 = 3

then take that answer, multiply by the number outside the box 3 * 3 = 9 and put that under the third coefficient and add them together 2+9=11

Plug x=3 into the equation to check.