What is (a+b+c) equal to?
For the following two (02) items: Let f(x)=ax^{2}+bx+c be a quadratic polynomial such that f(1)=f(4)=2. Further, 2 is a root of f(x)=0.
- A. 0
- B. 1
- C. 2 ✓
- D. Cannot be determined
Correct Answer: C. 2
Explanation
Evaluating the quadratic polynomial at x = 1 gives f(1) = a(1)^2 + b(1) + c = a+b+c. Since we are given f(1) = 2, it directly follows that a+b+c = 2.
Related questions on Algebra
- How many four-digit natural numbers are there such that <strong>ALL</strong> of the digits are odd?
- What is \sum_{r=0}^{n}2^{r}C(n,r) equal to ?
- If different permutations of the letters of the word 'MATHEMATICS' are listed as in a dictionary, how many words (with or without meaning) a...
- Consider the following statements : 1. If f is the subset of Z\times Z defined by f=\{(xy,x-y);x,y\in Z\}, then f is a function from...
- For how many quadratic equations, the sum of roots is equal to the product of roots?