Math Problems...?

Question

1: Factor out the GCF:
9x^2 + 18x

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


2: 25x^3y - 15x^2y
5xy ( y - 3)
5x ( y - 3)
5xy (5x - 3)
5x^2y (5x - 3)


3: 9x^3 + 81x^4
3x^3 (3 + 27)
9x^3 (1 + 9x)
9x^4 (9)
9x4 (1 + 9x)


4: -21x + 49x^3 - 28x^2
7x (7x + 3) ( x - 1)
(7x + 3) ( x - 1)
7x(x + 3) ( x - 1)
7 (7x + 3) ( x - 1)


5: 6x^3 + 24x^4 - 6x^4
x^2 (24x + 12)
6 (x^3 + 3x^4 )
6x^3 (3x + 1)
6x^2 ( 4x - 1)

Answer 1

1. The GCF of the coefficients 9 and 18 is 9, and the least degree of x in any term is just plain x. The GCF is 9x, and shown factored out is:

9x ( x + 2 ), the third answer on your list.

2. The GCF of the coefficients 25 and 15 is 5, the least degree of x in any term is x^2, and the least degree of y in any term is y. The GCF is 5x^2y, and shown factored out is:

5x^2y ( 5x - 3 ), the fourth answer on your list.

3. The GCF of the coefficients 9 and 81 is 9, the least degree of x in any term is x^3. The GCF is 9x^3, and shown factored out is:

9x^3 (1 + 9x), the second answer on your list.

4. The GCF of the coefficients 21, 49, and 28 is 7, the least degree of x in any term is x. The GCF is 7x, and shown factored is:

7x ( 7x^2 - 4x + 3 )

That can be further factored as:

7x (7x + 3)(x - 1), which is the first answer on your list.

5. The GCF of the coefficients 6, 6, and 24 is 6, the least degree of x in any term is x^3. The GCF is 6x^3, and shown factored is:

6x^3 (1 + 4x - x)

You can combine like terms 4x and -x to yield:

6x^3 (3x + 1) which is the third answer on the list.

Answer 2

1: Factor out the GCF:
9x² + 18x
9x(x + 2)
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2: 25x³y - 15x²y
5x²y(5x - 3)
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3: 9x³ + 81x^4
9x³ (1 + 9x)
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4: -21x + 49x³ - 28x²
7x(x + 3) ( x - 1)
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5: 6x³ + 24x^4 - 6x^4
6x³ + 18x^4 =
6x³ (3x + 1)
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