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Question -

What should be added to the polynomial x2 – 5x + 4, so that 3 is the zero of the resultingpolynomial ?
(a) 1
(b) 2
(c) 4
(d) 5



Answer -

(b)

3 is the zero of the polynomial f(x) = x2 – 5x + 4
x – 3 is a factor of f(x)
Now f(3) = (3)
2 – 5 x 3 + 4 = 9 – 15 + 4 = 13 – 15 = -2
-2 is to be subtracting or 2 is added

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