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If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?
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If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find t...
Finding the Value of pq+(p+q)
Identifying the Zeros
Finding the Value of pq+(p+q)
Let's start by identifying the zeros of the quadratic polynomial ax^2+bx+c.
Identifying the Zeros
- Let p and q be the zeros of the quadratic polynomial ax^2+bx+c.
- Since p and q are zeros, the polynomial can be factored as ax^2+bx+c = a(x-p)(x-q).
- Expanding the right side gives ax^2 - (a(p+q))x + apq.
- Comparing coefficients, we have b = -a(p+q) and c = apq.
- Solving for p+q and pq gives p+q = -b/a and pq = c/a.
Finding the Value of pq+(p+q)
- Substitute the values of p+q and pq into the expression pq+(p+q).
- pq+(p+q) = c/a + (-b/a) = (c-b)/a.
- Therefore, the value of pq+(p+q) is (c-b)/a.
So, the value of pq+(p+q) for the given quadratic polynomial ax^2+bx+c is (c-b)/a.
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If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?
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If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?.
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?.
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