Question

Let $f\left(x\right)=a{x}^2+bx+c$. Then, match the following.
$\begin{array}{cc}\text{a. Sum of roots of f(x) = 0}& 1.–\frac{b}{a}\\ \text{b. Product of roots of f(x) = 0}& 2.\frac{c}{a}\\ \text{c. Roots of f(x) = 0 are real and distinct}& 3.b^2–4ac=0\\ \text{d. Roots of f(x) = 0 are real and identical.}& 4.b^2–4ac>0\end{array}$

• A. $a-3,c-4,b-2,d-1$
• B. $a-1,b-2,c-4,d-3$
• C. $a-1,b-2,c-3,d-4$
• D. $a-2,b-1,c-3.d-4$

Answer 1

The correct option is B

$a-1,b-2,c-4,d-3$

For f(x) = $a{x}^2+bx+c$,

a. Sum of roots of f(x) = 0 is equal to $\frac{-b}{a}$.

b. Product of roots of f(x) = 0 is equal to $\frac{c}{a}$

c. Roots of f(x) = 0 are real and distinct, if D= $b^2–4ac>0$

d. Roots of f(x) = 0 are real and equal, if D= $b^2–4ac=0$