Q/ACategory: 10th Board Important QuestionPolynomials (Important Questions)
edurates Staff asked 7 months ago

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.

Ans. -5

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.

Ans. 9

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.

Ans. 4

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