Question

Dont spam here Mates solve the two question of reminder and factor theorem please ASAP?

Answer 1

hala mate,

14. 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

8 + 12 - 16 + 14 - k = 10

18 - k = 10

k = 10

Thus, the required number is 8.

15. p(x) = 2x³ - 7x² + ax - 6

p(2) = 16 - 28 +2a - 6

= 2a -18

g(x) = x³ - 8x² + (2a + 1)x - 16

g(2) = 8 - 32 +4a + 2 - 16

4a - 38

(equalizing both the equations)

2a - 18 = 4a - 38

4a - 2a = -18 + 28

2a         = 10

a            = 5

hope it helps..

Answer 2

Hope it helps you mate ..