Question
Which of the following graph represents the quadratic polynomial −x2+5x−6?
Options:
A .
|
B .
|
C .
|
| D . None of the above |
Answer: Option C
:
C
One way of solving this question is to find the zeroes of given polynomial by conventional factorization. But we will solve it in a smart way. We just find the sum of zeroes from polynomial and compare it from the graphs, which satisfies the sum of zeroes.
From polynomial,
Sum of zeroes = −ba = −5−1 = 5
From the graphs given , we look for graph whose sum of zeroes is 5. Thus graph having 2,3 as zeroes is the required graph.
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:
C
One way of solving this question is to find the zeroes of given polynomial by conventional factorization. But we will solve it in a smart way. We just find the sum of zeroes from polynomial and compare it from the graphs, which satisfies the sum of zeroes.
From polynomial,
Sum of zeroes = −ba = −5−1 = 5
From the graphs given , we look for graph whose sum of zeroes is 5. Thus graph having 2,3 as zeroes is the required graph.
Was this answer helpful ?
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