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Fireburntbudder
20.04.2021 •
Mathematics
Write a polynomial of least degree with roots 2 and – 7
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Ответ:
x^2+5x-14
Step-by-step explanation:
2 and -7 are the roots of the polynomial then we have to write them as
x=2 ,x=-7
To convert these as factors, we have to write them as
( x-2) (x+7)
The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.
x^2+7x-2x-14
x^2+5x-14
Number of factors = Highest exponent of the polynomial
Ответ:
y = x² + 5x - 14
Step-by-step explanation:
Given roots x = a, x = b, then the corresponding factors are
(x - a) and (x - b) and the polynomial is the product of the factors
y = (x - a)(x - b)
Here the roots are x = 2 and x = - 7, then the factors are
(x - 2) and (x - (- 7)) = (x + 7), so
y = (x - 2)(x + 7) ← expand using FOIL
y = x² + 5x - 14
Ответ: