Question

if the polynomial p(x)= x4-2x3+3x^+ax+8 is divided by x-2 it leaves reminder10 find the value of a

Answer 1

x=2
2power4-2(2)cube+3(2)square+a(2)+8=10
16-2(8)+3(4)+2a+8=10
16-16+12+2a+8=10
2a=10-20
2a=-10
a= -10/2
a= -5
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Answer 2

P (2 )=10
2^4-2×2^3+3×2^2+2a+8=10
16-2×8+3×4+2a+8=10
16-16+12+2a+8=10
2 (6+a+4)=10
10+a=5
a=5-10
a=-5