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Find a quadratic polynomial, the sum and product of whose zeroes are - 3 and 2, respectively
Solution:
A quadratic polynomial is in the form of ax2 + bx + c = 0 where a ≠ 0.
The sum of the zeroes is expressed as - b/a that is coefficient of x / coefficient of x2
The product of the zeroes is expressed as c/a that is constant term/ coefficient of x2
In the above question,
The sum of zeroes = - b/a
= - 3/1
The product of the zeroes = c/a
= 2/1
The quadratic polynomial is x2 - 3x + 2 = 0
☛ Check: NCERT Solutions for Class 10 Maths Chapter 2
Find a quadratic polynomial, the sum and product of whose zeroes are - 3 and 2, respectively
Summary:
A quadratic polynomial is x2 - 3x + 2 = 0, the sum and product of whose zeroes are - 3 and 2, respectively
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