Question

If (x-a) is a factor of (xsquare+2x+a-1)find the value of a

Answer 1

Correct Question

• If (x-a) is a factor of (x³-ax²+2x+a-1)find the value of a

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• X-a is factor
• of polynomial (x³-ax²+2x+a-1)

${\sf{\green{\underline{\large{To\:find}}}}}$

• Value of a

${\sf{\pink{\underline{\Large{Explanation}}}}}$

• g(x)=x-a
• p(x)=(x³-ax²+2x+a-1)

=>x-a=0

=>x=a

¶utting value of a in polynomial

p(x)=(x³-ax²+2x+a-1)

p(x

(a)=a³-a³+2a+a-1

=3a-1

=>3a=1

=>a=1/3