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15. If 2 -2, Secondary School Mathematics for Class 10, 09, 13. If 1 and -2 a, third zero., f(x) = 3x - 15x + 13x + 25x - 30, = (3x² - 5) (x² - 5x + 6), 3(/3x+5)(/3x-/5Xx-2(x-3)., f(x) = 0 = (/3x+ /5) = 0 or (/3x-/5) = 0, %3D, 14. If 3 and-3 ar, all the zeros, |, %3D, %3D, or (x-2) = 0 or (x-3) = 0, %3D, %3D, find all the z, 16. Find all the, zeros are v3, - or x=V or x= 2 or x 3., = X O, Hence, all zeros of f(x) are ,-V3,2 and 3., V3, 5., 3', 17. Find all the, EXERCISE 2B, its zeros are, 1. Verify that 3, -2, 1 are the zeros of the cubic polynomial, p(x) = x - 2x2 – 5x + 6 and verify the relation between its zeros and, 18. Obtain all c, 5 and -, 19. Find all th, given that, coefficients., 2. Verify that 5,-2 and are the zeros of the cubic polynomial, 1., 3., p(x) = 3x³ - 10x2 - 27x + 10 and verify the relation between its zeros and, IGUCE, coefficients., 3. Find a cubic polynomial whose zeros are 2, -3 and 4., 3. x - 3x2 - 1, NTE 19, 4. Find a cubic polynomial whose zeros are, %3D, 51 and -3., -x) = (x)b •9, 8. q(x) = -x², 5. Find a cubic polynomial with the sum, sum of the product of its zeros, taken two at a time, and the product of its zeros as 5, -2 and -24, %3D, 12. -4, -1, 3, respectively., 16. 3, -/3,, Find the quotient and the remainder when:, 19. (3 + /2),, 6. f(x) = x - 3x² +5x-3 is divided by g(x) = x²- 2., 7. f(x) = x*-3x² + 4x + 5 is divided by g(x) = x² +1-x., 8. f(x) = x-5x + 6 is divided by g(x) = 2-x., 9. By actual division, show that x-3 is a factor of 2x* + 3x³ – 2x²-9x- 12., 10. On dividing 3x +x² + 2x + 5 by a polynomial g(x), the quotient and, remainder are (3x -5) and (9x + 10) respectively. Find g(x)., |, %3D, %3D, %3D, %3D, %3D, Coeede, Very-Short-A, 1. If one zE, 2. Find the, (3x3 + x +2x +5)- (9x+ 10), (3x – 5), HINT g(x) =, %3D, 3. Find the, 11. Verify division algorithm for the polynomials f(x) = 8+ 20x + x² – 6x², 4. If a, Ba, and g(x) = 2+5x-3x²., 12. It is given that-1 is one of the zeros of the polynomial x³ + 2x² -11x-12., %3D, write th, 5. If one, %3D, Find all the zeros of the given polynomial., value c, 6. If 3 is a