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Question
Which of the following graph represents the quadratic polynomial −x2+5x−6?
Which of the following graph represents the quadratic polynomial −x2+5x−6?
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Solution
The correct option is 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.
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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