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If we express 3x^2 - 6x - 2 + 12x - 7 in the form a(x - h)^2 + k, then what is a + h + k?

Apr 3, 2022

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Combine like terms to get..

$$3x^2+6x-9$$

Then isolate the $x^2$ and $x$ terms and we get $$3(x^2+2x) - 9$$

Then complete the square inside the parentheses to get $$3(x^2+2x+1) - 9 - 1 \cdot 3$$ .

Then factor the parentheses and simplify to get $$3(x+1)^2 - 12$$.

You should be able to finish from here.

Apr 3, 2022