Maths Prob
let f(x) be a quadratic polynomial such that that f(2)= -3 and f(-2)=21, then the co-efficient of x in f(x) is a. -3 b. 0 c. -6 d. 2
1. if f(x) =x3 +ax+b is divisible by (x-1) 2 ,then the remainder obtained when f(x) is divided by (x+2) is ; a. 1 b . 0 c. 3 d. -10 3. the remainder when x1999 is divided by x2-1 is
a. 0 b. x c. 1 d. x-1 4. if α ,β are the roots of x2 –p(x+1)+c=0 then the value of (1+ α)(1+ β) is
a. c b. C-P c. 1+c d. none of these 5. if a ≠0, c≠0 and ax2 +bx+c and bx2+ax+c have a common factor then
a. a+b+c=-1 b. a+b+c=1 c. a+b+c=0 d. none of these
6. if the zeroes of the polynomial x3-3x2+x+1 are a-b,a,a+b then values of a and b are
a. a=0, b= 1 b. a=1,b=2 c. a=1,b=±√2 d. a=3,b=√2
7. if α ,β are the zeros of the polynomial f(x)=x2 –p(x+1)-c such that (α+1)( β+1)=0 then c equal to a. 1 b. 0 c. -1 d. 2
8. if α ,β,ϒ are the zeros of the polynomial f(x)=ax3+bx2+cx+d then α2 +β2+ϒ2 a. b2-ac/a2 b. b2-2ac/a c. b2+2ac/b2 d. b2-2ac/a2
9. if α and β are the zeros of the polynomial f(x)=x2+px+q then a polynomial having 1/ α and 1/ β is its zeros is
a. x2+qx+p b. x2-px+q c. qx2+px+1 d. px2+qx+1
10. if α ,β are the zeros of the polynomial f(x)=x2+x+1 then 1/ α +1/ β
a. 1 b. -1 c. 0 d. none of these
11. if the diagram shows the graph of the polynomial f(x)=ax2+bx+c.
y
x
a.
1. if f(x) =x3 +ax+b is divisible by (x-1) 2 ,then the remainder obtained when f(x) is divided by (x+2) is ; a. 1 b . 0 c. 3 d. -10 3. the remainder when x1999 is divided by x2-1 is
a. 0 b. x c. 1 d. x-1 4. if α ,β are the roots of x2 –p(x+1)+c=0 then the value of (1+ α)(1+ β) is
a. c b. C-P c. 1+c d. none of these 5. if a ≠0, c≠0 and ax2 +bx+c and bx2+ax+c have a common factor then
a. a+b+c=-1 b. a+b+c=1 c. a+b+c=0 d. none of these
6. if the zeroes of the polynomial x3-3x2+x+1 are a-b,a,a+b then values of a and b are
a. a=0, b= 1 b. a=1,b=2 c. a=1,b=±√2 d. a=3,b=√2
7. if α ,β are the zeros of the polynomial f(x)=x2 –p(x+1)-c such that (α+1)( β+1)=0 then c equal to a. 1 b. 0 c. -1 d. 2
8. if α ,β,ϒ are the zeros of the polynomial f(x)=ax3+bx2+cx+d then α2 +β2+ϒ2 a. b2-ac/a2 b. b2-2ac/a c. b2+2ac/b2 d. b2-2ac/a2
9. if α and β are the zeros of the polynomial f(x)=x2+px+q then a polynomial having 1/ α and 1/ β is its zeros is
a. x2+qx+p b. x2-px+q c. qx2+px+1 d. px2+qx+1
10. if α ,β are the zeros of the polynomial f(x)=x2+x+1 then 1/ α +1/ β
a. 1 b. -1 c. 0 d. none of these
11. if the diagram shows the graph of the polynomial f(x)=ax2+bx+c.
y
x
a.