Question

What number should be subtracted from x² + 3x² - 6x + 14 so that on dividing it by (x - 2), the remainder is 10.​

Answer 1

Answer:

8

Step-by-step explanation:

Let the number to be subtracted be k and the resulting polynomial be f(x).

So, f(x) = x3 + 3x2 − 8x + 14 - k

It is given that when f(x) is divided by (x − 2), the remainder is 10.

→∴  f (2) = 10

→(2∧3) + 3(2∧2) - 8(2) + 14 - k  = 10

→  8 + 12  -  16 + 14 - k = 10

→ 20 - 16 + 14 - k  = 10

→ 4 +14 - k  = 10

→18 - k  = 10

→ k = 18 - 10

→  k = 8

Thus, the required number is 8.

Answer 2

Answer:

Step-by-step explanation:

Vvvg ggvfc all all so all M all ATM Alberto