x^3 + x^2 -17x +15 factorize.....
plz give the ans with complete solution...plz...plzz....
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Answer:
step1...p(x)= x^3 +x^2-17x+15
let(x)= 1
p(1)=1^3+1^2-17×1+15
0= 1+1-17+15
0=0
so (x-1) is a factor
step..2.... by doing long division
x^3+x^2-17x+15 ÷(x-1)
(. after doing long division the quotient will be x^2+2x-15)
step...3...... by middle term splitting
x^2+2x-15
x^2+5x-3x-15
x(x+5)-3(x+5)
(x+5)(x-3)
so, the factors of x^3+x^2-17x+15 are (x-1)(x+5)(x-3)
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