Question

The polynomial () = 4 − 23 + 32 − 5 + when divided by + 1 leaves the remainder 19. Find the value of .

Answer 1

Answer:

Polynomial p(x)=x⁴-2x³+3x²-ax+3a-7 which gives remainder 19 when divided by x+1

To Find:

Value of 'a'.

Value of remainder when p(x) is divided by x+2

Solution:

Dividend= x⁴-2x³+3x²-ax+3a-7

Divisor= x+1

Remainder= 19

On dividing x⁴-2x³+3x²-ax+3a-7 by x+1, we get

(Calculation in First attachment)

Remainder= 4a-1

Also, it is given that

Remainder=19

⇒ 4a-1= 19