Question

find the value of p if the polynomial p(x)=x⁴-2x³+3x²-px+3p-7 when divided by (x+1) leaves remainder 19​

Answer 1

Step-by-step explanation:

x + 1 = 0

x = -1

The remainder is - 19

(-1)⁴ - 2(-1)³ + 3(-1)² - p(-1) + 3p - 7 = 19

1 - 2(-1) + 3(1) + p + 3p - 7 = 19

1 + 2 + 3 + 4p - 7 = 19

4p - 1 = 19

4p = 20

p = 5

Answer 2

p=5

if we substitute -1 as X value then we will get P=5