Exam 4

If x-a is a factor of x3-a2x+x+2, a =?

2 Answers

269
Astha Gupta ·

here,
f(x)=x3-ax2+x+2
by remainder theorem,if x-a is a factor of the given polynomial,then,
→x-a=0
→x=a
therefore,substituting value of 'a' in place of 'x'
f(a)→(a)3-a(a)2+(a)+2=0
→a3-a3+a+2=0
→a+2=0
→a=-2

119
Vinayak Agrawal ·

Thanks

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