So the remainder obtained on dividing q(t) by 2t + 1 is 0.
So, 2t + 1 is a factor of the given polynomial q(t), that
2t + 1.
EXERCISE 2.3
1. Find the remainder when x + 3x2 + 3x + 1 is divided by
1
x+1
X
(0 - 2
(iii) x
(iv)
2. Find the
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Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
(i) p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
(ii) p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
(iii) p(x) = x4 – 5x + 6, g(x) = 2 – x2
Answer
(i) p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2

Quotient = x-3 and remainder 7x – 9
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Answer:
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Explanation:
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