Question

Find value of K if x-1 is a factor of p(x) =kx² -3x +k .

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The value of $\rm{k}$ is $\rm{\dfrac{3}{2}}$.

Step-by-step explanation:

→ $\rm{g(x) = x - 1 = 0}$

= $\rm{g(x) = x = 0 + 1}$

= $\boxed{\rm g(x) = x = 1}$

❖ To find the value of “k”, we will put the value of “x” which is 1 in the given polynomial.

→ $\rm{p(x) = kx^2 - 3x + k}$

= $\rm{p(1) = k(1)^2 - 3(1) + k}$

= $\rm{p(1) = k - 3 + k = 2k - 3}$

❖ Now, we will put the whole term (2k - 3) equal to 0.

= $\rm{p(1) = 2k - 3 = 0}$

= $\rm{p(1) = 2k = 0 + 3 = 3}$

= $\boxed{\rm p(1) = k = \dfrac{3}{2}}$

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