SOLUTION: Factor Completely. Always factor the GCF as the first step. 30xy - 72y - 3x²y

Algebra.Com
Question 428139: Factor Completely. Always factor the GCF as the first step.
30xy - 72y - 3x²y
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
30xy - 72y - 3x^2y
---
GCF = 3y
---
Factor Form:
= 3y[10x-24-x^2]
---
= -3y[x^2+-10x+24]
---
= -3y(x-4)(x-6)
===================
Cheers,
Stan H.
=============
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
30xy - 72y - 3x²y

Factor out GCF = 3y

3y(10x - 24 - x²)

Rearrange the parenthethetical expression in descending order:

3y(-x² + 10x - 24)

Since the coefficient of x² is negative, factor out -1

3y(-1)(x² - 10x + 24)

-3y(x² - 10x + 24)

Factor the trinomial

-3y(x - 4)(x - 6)

Edwin
RELATED QUESTIONS

factor:... (answered by scott8148)
factor the polynomial completely,clearly show the GCF... (answered by uma)
completely factor the expression 128x^2 + 192xy +... (answered by stanbon)
Completely factor the expression 5x^2y + 30xy^2 + 45^3 (answered by alh622)
Factor the following equation completely. Factor out the GCF first. 4x^2-6x-4 (answered by stanbon)
Factor completely. factor the GCF as the first step. 45xyz^2 + 5x^2yz^2 + 100yz^2 In... (answered by stanbon)
factor completely... (answered by tutorcecilia)
Factor completely... (answered by tutorcecilia)
factor completely. State which method should be applied as the first step, then continue... (answered by josmiceli)