Question

Tricky Questions of Polynomials for 9th class ​

Answer 1

#.  If x + y = 12 and xy = 32, Find the value of x2 + y2.

#.  If 3x + 2y = 12 and xy = 6, find the value of 9x2 + 4y2.

#.  Write the following cubes in the expanded form:

      (i)   (3a + 4b)3

      (ii)   (5p – 3q)3

 If a + b + c = 15 and a2 + b2 + c2 = 83, find the value of a3 + b3 + c3 – 3abc.

#.  Factorize:

      (i)   6ab – b2 + 12ac – 2bc

      (ii)   9(2a – b)2 – 4(2a – b) – 13

#.  If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of a and b.

#.  Using factor theorem, factorize each of the following polynomials:

      (i)   x3 – 6x2 + 3x + 10

      (ii)   2y3 – 5y2 – 19y + 42



The number of zeros of x2 + 4x + 2

      (a)   1

(b)   2

(c)   3

(d)   none of these

#.  The value of k, if (x – 1) is a factor of 4x3 + 3x2 – 4x + k, is

      (a)   1

(b)   2

(c)   -3

(d)   3