Q. 1 F5.0( 2 Votes )

# Find the remainde

8x4 + 12x3 – 2x2 – 18x + 14 is divided by x + 1

Remainder theorem states that if p(x) is any polynomial and a is any real number and If p(x) is divided by the linear polynomial (x – a) , then the remainder is p(a).

Let p(x) = 8x4 + 12x3 – 2x2 – 18x + 14 and we have (x + 1)

The zero of (x + 1) is – 1

Now using Remainder theorem,

p(x) = 8x4 + 12x3 – 2x2 – 18x + 14 is divided by x + 1 then, p(– 1) is the remainder

p(– 1) = 8(–1)4 + 12(–1)3 – 2(–1)2 – 18(–1) + 14

= 8 – 12 – 2 +18 + 14

= 26

Remainder = 26

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