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3 years ago

How to factor 4x^2+24x+27

Mathematics

1 answer:

fomenos3 years ago

3 0

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

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3 years ago

Which expression can be written as k square root 3 where k is an integer

Damm [24]

Answer:

A simple expression is $\sqrt{48}$ = 4 $\sqrt{3}$

Step-by-step explanation:

Surds are irrational numbers expressed with respect to a square root. There are some basic rules required when dealing with surd.

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3 years ago

How to factor 4x^2+24x+27​

How to factor 4x^2+24x+27