00:18:16 III 16. What is the degree of the polynomial ax2 + x + b, if the zeroes of the quadratic polynomial+(a+1)x+ bare 2 and -3?
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Given :-
- Zeroes of the polynomial p(x) = x² + (a + 1)x + b are 2 and -3
To Find :-
- What is the degree of the polynomial?
Formula to be used :-
Solution :-
☀️We are given, Zeroes of the polynomial p(x) = x² + (a + 1)x + b are 2 and -3.
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- Therefore, degree of polynomial x-6 will be 1.
Verification :-
- Hence, Verified..!!
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- The quadratic formula is _
- It can be written as :-
Where:-
- α , β are the roots of the quadratic equation . b² - 4ac is a discriminate .
The conditions are as follows :-
☀️If D = 0
- The roots are equal and real .
☀️If D > 0
- The roots are unequal and rational ( if it is a perfect square )
☀️If D > 0
- The roots are distinct and irrational ( if it is not a perfect square )
☀️If D < 0
- The roots are unequal and imaginary .
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