Q. 13

# What should be added to the polynomial (x^{2} – 5x + 4) so that 3 is a zero of the polynomial.

Answer :

Let ‘a’ be added to polynomial x^{2} – 5x + 4 so that 3 becomes it zero

Hence the polynomial is x^{2} – 5x + 4 + a

Now as 3 has become zero after adding ‘a’ hence when we substitute x by 3 we will get 0

⇒ 3^{2} – 5(3) + 4 + a = 0

⇒ 9 – 15 + 4 + a = 0

⇒ – 6 + 4 + a = 0

⇒ – 2 + a = 0

⇒ a = 2

Hence 2 should be added to x^{2} – 5x + 4 so that 3 becomes its zero

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