Find The zeros and varify the relationship between zeros and coefficient of x2-9
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☆ Given Polynomial:-
- x²-9
☆ To find:-
- The zeroes of the given polynomial.
☆ Now,
- To find the zeroes x²-9 must be = 0
=》 x²-9 = 0
=》 x² = 9
=》 x² = (+3)² or (-3)²
=》 x = 3 or -3
● Verification:-
We know that sum of the zeroes
= -co-efficient of x/coefficient of x²
So,
3+(-3) = 3-3 = 0
Also
= -co-efficient of x/coefficient of x²
= 0.
{since x²-9 can be written as x²-0x-9}
And
Product of zeroes
= constant term/coefficient of x²
So,
3×(-3) = -9 = constant term/coefficient of x²
Therefore,
Sum of the zeroes = -b/a
And,
Product of the zeroes = c/a
Hence verified.
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