SOLUTION: f(x)=2x^2-5x+2 f(k-1) Simplify

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Question 687646: f(x)=2x^2-5x+2
f(k-1)
Simplify
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=2x%5E2-5x%2B2

f%28k-1%29=2%28k-1%29%5E2-5%28k-1%29%2B2

f%28k-1%29=2%28k%5E2-2k%2B1%29-5k%2B5%2B2

f%28k-1%29=2k%5E2-4k%2B2-5k%2B5%2B2

f%28k-1%29=2k%5E2-9k%2B9.....replace -9k with -3k-6k

f%28k-1%29=2k%5E2-3k-6k%2B9.....group

f%28k-1%29=%282k%5E2-3k%29-%286k-9%29

f%28k-1%29=k%282k-3%29-3%282k-3%29

f%28k-1%29=%28k-3%29%282k-3%29