
Πολυώνυμα
Authored by Γεωργία Ντελή
Mathematics
12th Grade

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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Ποιές από τις παρακάτω παραστάσεις είναι πολυώνυμα του x:
x + 1/x
α^3 - 3α^2x + 3αx^2 - x^3
1 - x^3
x^4 - 2x^3 + 4x - 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Δίνονται τα πολυώνυμα P(x) = x^2 - 5x + 2 και Q(x) = x^3 + 3x + 1. Να βρεθούν τα πολυώνυμα:
P(x)·Q(x)
P(x) + Q(x)
2P(x) - 3Q(x)
[P(x)]^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Να βρείτε για ποιες τιμές του μ ∈ R, το πολυώνυμο P(x) = (4μ^3 - μ)x^3 + 4(μ^2 - 14)x - 2μ + 1 είναι το μηδενικό πολυώνυμο.
μ = 4
μ = 3
μ = 2
μ = 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Να βρείτε για ποιές τιμές του α ∈ R, τα πολυώνυμα P(x) = (α^2 - 3α)x^3 + x^2 + α και Q(x) = -2x^3 + α^2x^2 + (α^3 - 1)x + 1 είναι ίσα.
α = 2
α = 3
α = 1
α = 4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Να εξετάσετε ποιοι από τους αριθμούς, που δίνονται με τα παρακάτω πολυώνυμα, είναι ρίζες τους.
P(x) = 5x^2 + 3αx + α^2 - 2, α = 1
P(x) = x^3 - kx^2 + 5x + k, k = 2
Q(x) = -x^4 + 1, x = -1, x = 1, x = 3
P(x) = 2x^3 - 3x^2 + 2x + 7, x = -1, x = 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Να βρείτε για ποιες τιμές του k ∈ R, το 2 είναι ρίζα του πολυωνύμου P(x) = x^3 - kx^2 + 5x + k.
k = 2
k = 1
k = 3
k = 4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Για ποιες τιμές του α ∈ R, η τιμή του πολυωνύμου P(x) = 5x^2 + 3αx + α^2 - 2 για x = -1 είναι ίση με 1.
α = 2
α = 1
α = 0
α = -1
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