Practice exam 2- Polynomials (25 marks)
1 rank questions (1x3)
1.If (x+2) is a element of x2 +mx+14,then the value of k volition be
a) 9
b) 7
c) 14
d) 2
2.If x+1/x=2,then x3 +1/x3 is
a) 64
b) 14
c) 8
d) 2
3.A polynomial of rank two is called
a) Quaratic
b) Quadratic
c) Linear
d) Cubic
2 marks questions (2x2)
4.Factorise -3-12(a-b)2
5.Find whether g(x) is a element of p(x)
p(x)=x3-4x2+x+6
g(x)=(x-3)
3 marks questions (3x2)
6.Factorise 3Ö3a3-b3-5Ö5c3-3Ö15abc.
7.If (x-3) in addition to (x-1/3)are both the factors of ax2+5x+b,then demo that a=b.
4 marks questions (4x3)
8.If a+b+c=6 in addition to hence observe (2-a)3+(2-b)3+(2-c)3-3(2-a)(2-b)(2-c).
9.If p in addition to q are remainders when the polynomials x3+2x2-5ax-7 in addition to x3+ax2-12x+6 are divided by (x+1) in addition to (x-2) respectively in addition to if 2p+q=6 observe the value of a.
10.Find the value of b if x3-bx2+3bx-b is precisely divisible past times (x-3).
