Given f(x) = 2x2 – x+ k, and the remainder when f(x) is divided by x – 1 is 3, then what is the value of k?

Given :-

To Find :-

Solution :-

Here we are given that ,

→ f(x) = 2x² - x + k

→ f(x) = 2x² - x + k

→ f(1) = 2(1)² - 1 + k

→ 3 = 2*1 -1 + k

→ 2 -1 + k = 3

→ k +1 = 3

→ k = 3-1

→ k = 2

Hence the value of k is 2 .

I hope this helps.

step-by-step explanation:

where is the diagram? shown below where? ?

step-by-step explanation: