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Fofino [41]
3 years ago
11

I WILL GIVE THE BRAINLIEST AND 20 PTS!

Biology
1 answer:
cluponka [151]3 years ago
6 0

Answer: 5(x +1.5)^2

10(x +1)^2

1/4(x +2)^2

3(x +5/6)^2

Explanation: When your desired form is expanded, it becomes ...

 a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

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