Question

6. If one factor of the polynomial x? - 11x + 10 is (x - 1) then the other factor will be​

Answer 1

To check whether (x−1) is factor of x  10  −1 and  x  11  −1 Then value of p(x)=x  10  −1  and q(x)=x  11  −1 is zero when x−1=0 or x=1 Replace x by 1 we get p(x)=x  10  −1 p(1)=(1)  10  −1 p(1)=1−1=0 and q(x)=x  11  −1 q(1)=(1)  11  −1 q(1)=1−1=0 So p(1) and q(1) are zero  then x−1 is a factor of x  10  −1 and  x  11  −1

Answer 2

Answer:

x-10

Step-by-step explanation:

$x^2-11x+10$

Middle term factorising it,

$x^2-(10+1)x+10\\x^2-10x-x+10\\x(x-10)-1(x-10)\\(x-1)(x-10)$

Thus, x-1 and x-10 are factors of the polynomial. Thus, the other factor is x-10.

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