If alpha, beta, gamma are the zeros of the polynomial 2x^(3)+ x^(2) - 13 x+ 6 then alpha beta gamma = ?
Verify that 1, 2 and (3)/(2) are the zeroes of the cubic polynomial p(x)= 2x^(3)-9x^(2)+13x-6 . Then, verify the relationship between the zeroes and the coefficient of the polynomial.
Factorise: (i) x^(3)-2x^(2)-x+2 (ii) x^(3)-3x^(2)-9x-5 (iii) x^(3)+13x^(2)+32x+20 (iv)
Verify whether 2,-3 are zeroes of the polynomial 2x^(3)+x^(2)-13x+6
Use the Remainder Theorem to factorise the following expression 2x^(3)+x^(2)-13x+6 .
Divide : 6x^(3) - 13x^(2) - 13x + 30 by 2x^(2) - x - 6