Question

ning remainder theorem, find the value of k, if on dividing
2x3 3x2 – kext 5 by 2-2. leaves a remainder 7.​

Answer 1

Answer:

here is your answer

k = 13

Step-by-step explanation:

Given, f(x) = 2x³ + 3x² - kx + 5.

When f(x) is divided by x - 2, the remainder is 7.

∴ f(2) = 7  

f(2) = 2(2)³ + 3(2)² - k(2) + 5

⇒ 7 = 16 + 12 - 2k + 5

⇒ 7 = 33 - 2k

⇒ -26 = -2k

⇒ k = 13.

Therefore, the value of k is 13.

Hope it helps!