SOLUTION: 1) Solve by factoring and using the principle of zero products. x2 + 9x = 0 2) Factor completely. x2 - 50xy + 625y2 3) Factor completely. 3x3 + 24x2 + 48x 4) Fa

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1) Solve by factoring and using the principle of zero products. x2 + 9x = 0 2) Factor completely. x2 - 50xy + 625y2 3) Factor completely. 3x3 + 24x2 + 48x 4) Fa      Log On


   

Question 339673: 1)
Solve by factoring and using the principle of zero products.
x2 + 9x = 0
2)
Factor completely.
x2 - 50xy + 625y2
3)
Factor completely.
3x3 + 24x2 + 48x
4)
Factor completely.
x4 - 24x2 - 25
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1) Solve by factoring and using the principle of zero products.
x2 + 9x = 0
Hint: both terms have a factor of x
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2) Factor completely.
x2 - 50xy + 625y2
Hint: the 1st and last terms are squares.
3) Factor completely.
3x3 + 24x2 + 48x
Factor out a 3x. Then the 1st and last terms are squares.
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4) Factor completely.
x4 - 24x2 - 25
It will be (x^2 + a)*(x^2 + b)
ab = -25, so the signs are different.
a+b = -24