Question

Find the value of k, if (x-3) is a factor of p (x) =kx²-x-15​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

k = 2, if (x - 3) is a factor of p(x)

Step-by-step explanation:

We know that,

p(x) = kx² - x - 15

and (x - 3) be a factor of p(x)

If x - 3 is a factor then,

x - 3 = 0

x = 3

Thus, Using Remainder theorem,

p(3) = k(3)² - (3) - 15

0 = 9k - 3 - 15

9k - 18 = 0

9k = 18

k = 18/9

k = 2

Thus,

k = 2, if (x - 3) is a factor of p(x)

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