2. Find the zeros of the polynomial x² + x - p(p+1).
Answers
Answered by
4
Given
- f(x)=x² + x - p(p+1)
To Find
- Zeros of the polynomial
Solution
______Meathod 1 ______
- x²+x-p(p+1)=0
- On factorising we get,
- x²+(p+1)x-px-p(p+1)=0
- x(x+p+1) -p(x+p+1)=0
- (x+p+1)(x-p)=0
- x=-p-1, and x= p
The zeros of polynomial are: p-1 and p.
______Meathod 2 ______
On Comparing with ax²+bx+c = 0, we get,
By Quadratic Equation
- Putting the values
- Using identity a²+2ab+b² = (a+b)²
The zeros of polynomial are: p and p-1 .
Answered by
5
- ↪On Comparing with ax²+bx+c = 0, we get
BY QUADRATIC EQYATION
- ↪BY PUTTING THE VALUES
- ↪Using identity a²+2ab+b² = (a+b)²
- The zeros of polynomial are: p and p-1 .✅
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