Page 1 - Home Assignment-Zeroes of a polynomials Ch-2

SAI International School
CLASS -IX

Mathematics
CHAPTER-2: Polynomials

HOME ASSIGNMENT -2

SUB TOPIC: ZEROES OF A POLYNOMIAL

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1. Find the number of zeros of x + 4x + 2.

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2. Find the zeroes of the polynomial x + 5x + 6.
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3. Find the zeroes of the polynomial 5x - 6.
4. Find the zero of the polynomials in each of the following cases:

(i) p(x) = x + 5
(ii) p(x) = x – 5
(iii) p(x) = 2x + 5
(iv) p(x) = 3x – 2
(v) p(x) = 3x
(vi) p(x) = ax, a ≠ 0
(vii) p(x) = cx + d, c ≠ 0, c, d are real numbers.

ANSWER

1. 2
2. -2 and -3
√6 √6
3. − and
√5 √5
4.
Ans. (i) We have p(x) = x + 5
∴ p(x) = 0
⇒ x + 5 = 0
∴ or x = –5
∴ Thus, a zero of x + 5 is (–5).
(ii) We have p(x) = x – 5
∴ p(x) = 0
⇒ x – 5 = 0
∴ or x = 5
∴ Thus, a zero of x – 5 is 5.
(iii) We have p(x) = 2x + 5
∴ p(x) = 0
⇒ 2x + 5 = 0
or 2x = –5

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