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The sum and product of zeros of a quadratic polynomial are 2 and -15 respectively. The quadratic polynomial is

  • a)
    x2 + 2x – 15

  • b)
    x2 – 2x + 15

  • c)
    x2 – 2x – 15

  • d)
    x2 + 2x + 15

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum and product of zeros of a quadratic polynomial are 2 and -15 r...
Let the polynomial be f(x).
f(x) = x2− (sum of zeros)x +  product of zeros
= x2−2x–15
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Most Upvoted Answer
The sum and product of zeros of a quadratic polynomial are 2 and -15 r...
The quadratic polynomial is x^2 - 2x - 15.
Explanation:
Let the two zeros of the quadratic polynomial be a and b.
Then, we know that:
a + b = 2 (sum of zeros)
ab = -15 (product of zeros)
Using these two equations, we can find the quadratic polynomial:
The quadratic polynomial can be written as:
x^2 - (a+b)x + ab
Substituting the values of a+b and ab, we get:
x^2 - 2x - 15
Therefore, the quadratic polynomial is x^2 - 2x - 15.
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The sum and product of zeros of a quadratic polynomial are 2 and -15 r...
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