Find the zeroes of the following polynomials and verify the relationship between the
zeroes and its coefficients:
(i) 3x
2
+ 5x (ii) x
2
–
10
3
x + 1 (iii) 4 3 x
2
+ 5x – 2 3 (iv) 3x
2
– 4
Answers
i)3x^2+5x
Relationship between zeroes and coefficients
Sum of zeroes=-(coefficient of x)/coefficient of x^2
=-5/3
Product of zeroes=constant term/coefficientof x^2
=0/3=0
ii)x^2+103x+12
Relationship between zeroes and coefficients
Sum of zeroes=-(coefficient of x)/coefficient of x^2
=-103/1=-103
Product of zeroes=constant term/coefficientof x^2
=12/1=12
iii)43x^2+5x-2
Relationship between zeroes and coefficients
Sum of zeroes=-(coefficient of x)/coefficient of x^2
=-5/43
Product of zeroes=constant term/coefficientof x^2
=-2/43
iv)3x^2-4=0
3x=root4
3x=2
x=2/3
Relationship between zeroes and coefficients
Sum of zeroes=-(coefficient of x)/coefficient of x^2
=4/3
Product of zeroes=constant term/coefficientof x^2
=0/3=0
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