# Important Questions for CBSE Class 10 Maths Chapter 2 - Polynomials 3 Mark Question

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CBSE Class 10 Maths Chapter-2 Polynomials Important Questions

## 3 Mark Questions

1. Apply division algorithm to find the quotient q (x) and remainder r (x) an dividing f (x) by g (x), where
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2. If two zeros of the polynomial are , find the other zeros.
Ans. Two zeros are

Now,

3. What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by ?
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We must be subtract (2x – 3) to become a factor.

4. What must be added to  so that it may be exactly divisible by ?
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5. Find all the zeros of the polynomial f (x) = 2x– 3x– 3x2 +6x – 2, if being given that two of its zeros are and –.
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6. On dividing x– 3x+ x + 2 by a polynomial g (x) the quotient and the remainder were (x – 2) and -2x + 4 respectively, find g (x).
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7. Find all zeros of f(x) = 2x– 7x+ 3x + 6 if its two zeros are –and .
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8. Obtain all zeros of the polynomial f (x) = 2x+ x– 14x– 19x – 6, if two of its zeros are -2 and -1.
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9. Obtain all other zeros of 3x+ 6x– 2x– 10x – 5. If two of its zeros are and
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10. If the polynomial x– 6x+ 16x– 25x + 10 is divided by another polynomial x– 2x + k, the remainder comes out to be (x + a), find ‘k’ and ‘a’.
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11. Find the value of ‘k’ for which the polynomial x+ 10x+ 25x+ 15x + k is exactly divisible by (x + 7).
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12. If  and  are the zeros of the polynomial f (x) = x+ px + q, find polynomial whose zeros are (+)2 and ()2.
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