Find a quadratic polynomial whose zeroes are 2 and 3.
Answers
Answered by
0
Answer:
x²- 5x + 6
Step-by-step explanation:
2 and 3 are the zeroes
Sum of zeroes = 2 + 3
=> 2 + 3 = 5
Product of zeroes = 2 × 3
=> 6
A quadratic polynomial with two zeroes is in the form of:
[x² - (sum of zeroes)x + (product of zeroes)]
=> x²- 5x + 6
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Answered by
0
Answer:
x^2 - 5x + 6 =0
Step-by-step explanation:
Given:
α = 2 , β=3
sum of the roots,
α + β = 2 + 3 = 5
product of the roots,
αβ = 2 * 3 = 6
Equation of quadratic polynomial,
x^2 - x (α+β) + αβ = 0
Ans: x^2 - 5x + 6 =0
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