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Back to Use factoring and completing the square — Problem 3 · Task Set 24

Exercises: Use Factoring and Completing the Square

Work through each section in order. Show your work where indicated. For completing the square, show each step of the process.

Grade 9·19 problems·~30 min·Common Core Math - HS Functions·standard·hsf-if-c-8a
Work through problems with immediate feedback
A

Fluency Practice

1.

Complete the square for h(x)=x2+6x+2h(x) = x^2 + 6x + 2.

Step 1: Half of 6 is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ; square it to get   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .
Step 2: Rewrite: (x+‾)2−‾+2=(x+3)2+‾(x + \underline{\hspace{5em}})^2 - \underline{\hspace{5em}} + 2 = (x + 3)^2 + \underline{\hspace{5em}}.

half of 6:
half squared:
value inside parentheses:
value subtracted:
final constant: