Question

If x-2 is factor of p(x)=3xsquare-kx+10.find the value of k

Answer 1

Answer:

11

Step-by-step explanation:

since x - 2 is a factor therefore x = 2

at x = 2 p(x) = 0

$3x^2 - kx +10$ = p(x)

p(2) = 3(4) - k(2) + 10

0 = 12 - 2k + 10

22 = 2k

k = 11

Answer 2

Given

If x-2 is factor of p(x)=3x²-kx+10.find the value of k

To find

Find the value of k

Solution

=> x - 2 = 0

=> x = 2

If (x-2) is a factor of p(x) then p(x) must be equal to 0

=> 3x² - kx + 10 = 0

Putting the value of x

=> 3 × (2)² - k × 2 + 10 = 0

=> 3 × 4 - 2k + 10 = 0

=> 12 - 2k + 10 = 0

=> 22 = 2k

=> k = 22/2 = 11

Hence, required value of k is 11