Figure 2.23 show the graph of the polynomial f(x) = ax² + bx + c for which (a) a < 0, b > 0 and c > 0 (b) a < 0, b < 0 and c > 0 (c) a < 0, b < 0 and c < 0 (d) a > 0, b > 0 and c < 0

Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for which (FIGURE) (a) a<<0,\ \ b>>0\ a n d\ c >0 (b) a<0, blt0 and cgt0 (c) a<0,\ b<0\ a n d\ c<0 (d) a >0,\ b >0\ a n d\ c<0

The following figure shows the graph of f(x)= ax^(2)+ bx+c , find the signs of a, b and c .

If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c 0 c. a b >0 d. a b c<0

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

which of the following graph represents the expression f(x) = ax^2 + bx + c (a!=0) when a>0,b<0 $ c<0 ?

The following figure shows the graph of f(x) =ax^(2)+bx +c , then find the sign of values of a, b and c .

If a,b,c in R, then for which of the following graphs of the quadratic polynomial y = ax ^(2) -2bx+ c (a ne 0), the product (abc) is negative ?

Let f(x) = a x^2 + bx + c , where a, b, c in R, a!=0 . Suppose |f(x)| leq1, x in [0,1] , then

If the roots of the equation ax^2 + bx + c = 0, a != 0 (a, b, c are real numbers), are imaginary and a + c < b, then

Statement-1: If a, b, c are distinct real numbers, then a((x-b)(x-c))/((a-b)(a-c))+b((x-c)(x-a))/((b-c)(b-a))+c((x-a)(x-b))/((c-a)(c-b))=x for each real x. Statement-2: If a, b, c in R such that ax^(2) + bx + c = 0 for three distinct real values of x, then a = b = c = 0 i.e. ax^(2) + bx + c = 0 for all x in R .