Math, asked by goraksh31, 8 months ago

form the quadratic equation if it's roots are 3 and - 10​

Answers

Answered by prashadnagendra497
2

Answer:

27and -1000

Step-by-step explanation:

(3)3=27

(10)10=1000

Answered by Anonymous
1

Quadratic Polynomial : x² + 7x - 30 = 0.

Step-by-step explanation:

Given that,

  • Roots of Quadratic Polynomial are 3 and - 10.

To find,

  • Quadratic Polynomial.

Let,

  • α = 3
  • β = - 10

➡ Sum of the zeroes : α + β = 3 +(-10) = 3 - 10 = - 7

➡ Product of the zeroes : αβ = 3(-10) = - 30

Now,

According to the form of the Quadratic Polynomial

◼ x² - (α + β)x + αβ = 0

  • Substitute the zeroes.

➠ x² - (- 7)x + (- 30) = 0

➠ x² + 7x - 30 = 0

Hence, the Quadratic Polynomial is “ x² + 7x - 30 = 0 ”.

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