Question

question number 14 only

Answer 1

⭐⭐Hello friend..Ur answer is here⤵⤵

⚫ p (x)=x^4-2x^3+3x^2-ax+b

➡If divided by x-1 then put the value x=1 in above polynomial

➡(1)^4-2×(1)^3+3 (1)^2-a×1+b=5

➡1-2+3-a+b=5

➡2-a+b=5

➡a-b= -3 ➡ equation 1

Now if divided by x+1 then put the value of x= -1 in above polynomial

➡(- 1)^4-2×(-1)^3+3 (-1)^2-a×(-1)+b=19

➡1+2+3+a+b=19

➡a+b=13➡equation 2

Solving equation 1 and 2 we get

➡a=5 and b=8

⚫Now the remainder when it divided by x-2 means put x=2


➡ (2)^4-2×(2)^3+3 (2)^2-5×2+8

➡16-16+12-10+8

➡10

I HOPE IT IS HELPFUL TO YOU ☺