Question

25. Using remainder theorem to find the value of k when dividend divided by X-2 leaves a remainder 7. the dividend is 2x+3x²-kx+5 a) 10 b) 13 c) 16 d) 19 Ans​

Answer 1

Answer:

k = 7

Step-by-step explanation:

p(x) = 2x + 3x²- kx + 5

g(x) = x - 2

x - 2 = 0

x = 2

So according to remainder theorem, the remainder is given by p(2)

Also, it is given that p(2) = 7

p(2) = 2(2) + 3(2)² - 2k + 5 = 7

4 + 12 - 2k + 5 = 7

21 - 2k = 7

21 - 7 = 2k

14 = 2k

7 = k

I am getting 7 please tell if it's correct