Question

Aquatic polynomial whose zeroes are - 5 and 6 is

Answer 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

Answer 2

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.