Question

Factor the expression.

Answer 1

\[4x ^{3/2}-12x^{1/2}+8x ^{-1/2}\]

Answer 2

Look at the numbers (the coefficients), what factor do they have in common?

Answer 3

4

Answer 4

Correct.
You can factor out 4.
Now look at the x part of each term.
What factor does every exponent have?

Answer 5

1/2

Answer 6

-1/2

Answer 7

\(\Large 4x ^{\frac{3}{2}}-12x^{\frac{1}{2}}+8x ^{-\frac{1}{2}}\)

\(\Large =4(x ^{-\frac{1}{2} + 2}-3x^{-\frac{1}{2} +1}+2x ^{-\frac{1}{2} + 0})\)

\(\Large =4x ^{-\frac{1}{2}} (x^ 2-3x+2)\)

Answer 8

ohhh I see now \[4x ^{-1/2}(x-2)(x-1)\]

Answer 9

Thank you! @mathstudent55

Answer 10

yw