WORKSHEET POLYNOMIALS GRADE 10 CBSE

SET - A

1. Find the zeroes of the polynomials:

    (i) x² – x - 6    (ii) x² +2x - 15      (iii) 3x³ – x² - 3x  + 1    (iv) 3x³ + x² - 24x  + 36  

2.  For what value of k, (-4) is a zero of the polynomial  

3. For what value of k , -2 is a zero of the polynomial 

4.  Write the degrees of the following polynomials: 2y¹⁰ – x + y⁷  - 6     (iii)2x¹⁰ – x + x¹¹  - 6

5.  Show that 1, -1 and 3 are the zeroes of the polynomial x³ -3 x²

                                                    SET - B

1. If  α and βare zeroes of  x ² + 5x + 8,then find the value of α + β.

2. Find the quadratic polynomial whose zeroes are 3 and -5.

3.  Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

4. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

5. Find a quadratic polynomial whose zeroes are

6. Find the zeroes of the quadratic polynomial 6x² -7x – 13 and verify the relationship between the zeroes and the coefficients of the polynomial.

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