find the sum and the product of the zeroes of the polynomial X2-6×+5.
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Given :–
- A polynomial, x² – 6x + 5.
To Find :–
- Sum of the zeroes of the polynomial.
- Product of the zeros of the polynomial.
Solution :–
We know that,
And,
So,
According to the question,
- Value of a = 1.
- Value of b = –6.
- Value of c = 5.
Now, we have to find the sum and product of the zeroes of the given polynomial.
• Sum of the zeroes of the polynomial is,
⟹
Now, open the bracket.
⟹
⟹ 6
• Product of the zeroes of the polynomial is,
⟹
⟹ 5
Hence,
- Sum of the zeroes of the given polynomial = 6.
- Product of the zeroes of the given polynomial = 5.
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Answer:
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Step-by-step explanation:
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