Question

The polynomial p(x) =x4- 2x3 +3x2 - ax + 3a- 7 when divided by x+ 1 leaves the remainder 19. Find the value of a. Also find the remainder when p(x) is divided by x+ 2​

Answer 1

Answer:

Step-by-step explanation:

Put x =-1

You will get

1 + 2 + 3 + a - 3a - 7 = 19

-2a - 7 +6 = 19

-2a = 20

a = -10

When P(x) is divided by x+2

x = -2

16 - 2 * -8 - 10 * -2 + 3* -10 -7

16 + 16 + 20 -30 - 7

32 -17

= 15

Answer 2

Answer:

a = 10

g(-2) = 47

Step-by-step explanation:

Put x =-1

You will get

1 + 2 + 3 - a + 3a - 7 = 19

2a - 7 +6 = 19

2a = 20

a = 10

When P(x) is divided by x+2

x = -2

= 16 + 16 + 12 - 20 + 30 - 7

= 32 + 12 + 10 - 7

= 42 + 5

= 47