Q.Two zeroes of cubic polynomial ax3 + 3x2 – bx – 6 are –1 and –2. Find the third zero and value of a and b.
Ans. a=2, b=5 and third zero=3/2
Q.If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p.
Q.Find a quadratic polynomial, the sum, and product of whose zeroes are 0 and -√2 respectively.
Ans. x2 – √2
Q.If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k.
Q. Find quadratic polynomial, whose zeroes are -4 and -5.
Ans. x2 + 9x + 20
Q.If the zeroes of the polynomial x2 + px + q are double in value to the zeroes of 2x2 – 5x – 3, find the value of p and q.
Ans. p = -5, q = -6
Q.If the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k.
Q.Find the zeroes of the quadratic polynomial √3 x2 – 8x + 4√3.
Ans. 2√3 and 2√3 /3
Q.Find a quadratic polynomial, the sum, and product of whose zeroes are -8 and 12 respectively.
Ans. x2 + 8x + 12