form the quadratic equation if it's roots are 3 and - 10
Answers
Answered by
2
Answer:
27and -1000
Step-by-step explanation:
(3)3=27
(10)10=1000
Answered by
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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