Grade 10Algebra
Find the value of p and q so that x^4+x^3+8×^2+p×+q is divisible byx^2+1
1 Answer
mycroft holmes
Given expression can be written as (x4 -1) + (x3+x) + 8(x2+1)+(px+q-x-7).
The expressions in the first three brackets are all divisible by x2+1. Which means we must have px+q-x-7 = 0. i.e. p=1,q=7
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