Class X Marks: 25
Subject: Mathematics Time: 45 minutes
POLYNOMIALS
I. Answer the Following: 5X3=15
1.Factorise: x4+5x2+ 5x2-5x-6
2.Find the roots of x/x-a + x2 b/b-a + b.
3.If ax2+bx+c is exactly divisible by (x-1) (x-2) and leaves remainder 6 when divided by (x+1). Find the expression.
II. Answer the Following: 2X5= 10
Find the sum and product of the roots of 3x2+ 9x+63=0
4.Write the Q.E whose roots are (2+3) and (2-3)
5.x2-4x+5=0 comments upon the roots without finding them.
6.Find ‘m’ in order that x4-2x3+3x2-mx+5 may exactly divisible by x-3.
7.Find k if x3-3x2+4x-k is exactly divisible by x-2.
