Question

find the value of k if ( x - 2 ) is a factor of x2 - kx + 10​

Answer 1

Answer:

x-2=0                                   since its a factor

x=2

replace in the equation

x2-kx+10=0

4-2k+10=0

14=2k

k = 7

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Answer 2

Answer:

7 is the required vale of k.

Step-by-step explanation:

Explanation:

Given in the question that, (x - 2) is a factor of $x^2 - kx + 10$.

And according to the question we need to find the value of k.

Let P(x) = $x^2 - kx + 10$.

Step 1:

From the question we have,

(x - 2) is a factor of P(x).

⇒x -2 = 0

⇒ x = 2.

So, the value of x = 2.

Step 2:

On putting the value of x on P(x) we get the value of k,

P(2) = $(2)^2 - k(2) + 10$  = 0         [where x = 2 from step 1]

⇒4 - 2k + 10 = 0

⇒-2k + 14 = 0

⇒k = $\frac{-14}{-2}$ = 7 .           [ where negative sign are cancel out]

Final answer:

Hence, 7 is the required value of k..

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