Question

if the polynomial x⁴-2x³+3x²-px+8 is divided by x-2 it leaves a reminder 10. find the value of 'p'.
pls answer quickly!!​

Answer 1

Answer:

5

Step-by-step explanation:

x - 2 = 0

x = 2

x⁴-2x³+3x²-px+8 = 10

16 - 16 + 12 - 2p + 8 = 10

-2p = -10

p = 5

Answer 2

Given

x⁴-2x³+3x²-px+8 is divided by x-2 and leaves a remainder 10.

To find

The value of p.

Solution

Here,

p(x) = x⁴-2x³+3x²-px+8 = 10

p(2) = 2⁴-2(2)³+3(2)²-p(2)+8 = 10

⇒16-16+12-2p+8 = 10

-2p+20 = 10

-2p = 10-20 = -10

$p = \frac{ - 10}{ - 5}$

$\boxed{p = 2}$