How do you factor x3+6x2−5x−30?
2 Answers
Apr 15, 2018
Explanation:
rearrange the equation
take out the common factors
compress the terms
solve for
Apr 15, 2018
Explanation:
factor by grouping the terms
=x2(x+6)−5(x+6)
take out the common factor (x+6)
=(x+6)(x2−5)
x2−5 can be factored using difference of squares
a2−b2=(a−b)(a+b)
x2−5=x2−(√5)2
with a=x and b=√5
⇒x2−5=(x−√5)(x+√5)
⇒x3+6x2−5x−30=(x+6)(x−√5)(x+√5)