SOLUTION: Factor completely relative to the integers. If the polynomial is prime relative to the integers, enter PRIME. 24(x - 3)(6x + 7)^2 + 15(x - 3)^2(6x + 7) Please help

Algebra.Com
Question 212823: Factor completely relative to the integers. If the polynomial is prime relative to the integers, enter PRIME.

24(x - 3)(6x + 7)^2 + 15(x - 3)^2(6x + 7)
Please help

Found 2 solutions by Earlsdon, jsmallt9:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Factor:

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

When factoring, always start with the Greatest Common Factor (GCF). In this case you have a GCF (highlighted):

Factoring out the GCF we get:

Now we simplify the factor on the right:


None of these factors will factor further so we are finished.

RELATED QUESTIONS

factor completely, relative to the integers. If a polynomial is prime relative to the... (answered by ewatrrr)
factor completely, relative to the integers. If a polynomial is prime relative to the... (answered by ewatrrr)
factor completely, relative to the integers. If a polynomial is prime relative to the... (answered by ewatrrr)
x^2-9x+7x-63 the directions are to factor completely relative to the integers. Please (answered by stanbon,richwmiller)
factor completely. if the polynomial is prime please state. I was able to factor but... (answered by Fombitz)
Factor the polynomial completely. If the polynomial is prime say so.... (answered by nerdybill,Alan3354)
factor the given polynomial completely. If the polynomial is prime say so.... (answered by MathLover1)
if possible, completely factor the expression ( if the polynomial is not factorable using (answered by nerdybill)
write in a completely factored form relative to the integers. 2x(x-4)^3 +... (answered by richwmiller)