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# Binomial

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Find a so that ax^2 + 15x + 4 + 3x + 5 is the square of a binomial.

Jul 8, 2022

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Combining liking terms gives us:

ax^2 + 18x + 9

We know that if we factor this out, we get:
$$(\sqrt{a} + 3)^2$$

Since we know that 6sqrt(a) = 18

We know that sqrt(a) = 3

a = 9.

Jul 8, 2022