Aquatic polynomial whose zeroes are - 5 and 6 is
Answers
Answered by
1
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Step-by-step explanation:
Let a=-5 and b=6
Now,
we know that
a+b=-5+6= 1
ab=-5*6= -30
So the quadratic equation formed
x^2 + 1x - 30
x^2 + x - 30
Answered by
9
Answer:
x² - x - 30
Step-by-step explanation:
Let the zeroes be α and β of the required polynomial.
It is given that the two zeroes are - 5 and 6.
∴ α = - 5 and β = 6
Sum of zeroes = α + β
= - 5 + 6
= 1
Product of zeroes = αβ
= (- 5)(6)
= - 30
Now,
The required polynomial is :
→ p(x) = k [x² - (α + β)x + αβ]
Putting known values, we get
→ p(x) = k [x² - (1)x + (- 30)]
→ p(x) = k [x² - x - 30]
Put k = 1, we get
→ p(x) = x² - x - 30
- A quadratic polynomial is a polynomial of degree 2.
- Every quadratic equation exist in the form of ax² + bx + c.
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