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2 votes
Factor completely 4x4 − 24x3 + 36x2.

4x2(x − 3)2
4(x − 3)2
4x2(x + 3)(x − 3)
4x(x2 − 6x + 9)

User Eeerahul
by
7.7k points

2 Answers

7 votes
factor out 4x² from everybody
4x²(x²-6x+9)
factor inner
what 2 numbers multipliy to gete 9 and add to get -6
-3 and -3
4x²(x-3)(x-3)
or
4x²(x-3)²


first option
User Junhee Shin
by
7.9k points
5 votes

Answer:

The correct option is 1.

Explanation:

The given expression is


4x^4-24x^3+36x^2

Taking out the greatest common factor.


4x^2(x^2-6x+9)


4x^2(x^2-3x-3x+9)


4x^2(x(x-3)-3(x-3))


4x^2(x-3)(x-3)


4x^2(x-3)^2

The complete factor form of the given expression is
4x^2(x-3)^2.

Therefore the correct option is 1.

User Plastique
by
8.6k points
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