Question
What number should be subtracted from $x^2 + x + 1$ so that the resulting polynomial is exactly divisible by $(x-2)$ ?
✓
Answer
$(x - 2) = 0 \Rightarrow x = 2$
When we substitute this value in the polynomial, whatever we get as a remainder (say a) should be subtracted so that polynomial is exactly subtracted by the factor.
$f(2) = 2 \times 2 + 2 + 1 - a = 0$
$\Rightarrow a = 7$
Hence answer $= 7$
When we substitute this value in the polynomial, whatever we get as a remainder (say a) should be subtracted so that polynomial is exactly subtracted by the factor.
$f(2) = 2 \times 2 + 2 + 1 - a = 0$
$\Rightarrow a = 7$
Hence answer $= 7$
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