Free Printable Polinomi

1.

Kateri predpisi predstavlja polinom (več rešitev ;)?

a)

$f\left(x\right)=3x^2-6x-9$

b)

$f\left(x\right)=x^{-2}+2x-1$

c)

$f\left(x\right)=1-2x+x^3+3x^{\frac{1}{2}}$

d)

$f\left(x\right)\ =\ 2^x\ +x^2$

e)

$f\left(x\right)=\left(3-x\right)\left(x^2+x\right)$

2.

Stopnja polinoma

$p\left(x\right)=-\frac{1}{2}\left(x^2-6x\right)^3\cdot\left(x^4+8x-12\right)$ je enaka

(a)

3.

Začetna vrednost polinoma

p\left(x\right)=-2\left(x-1\right)^3\left(x+2\right)^2

je

(a)

4.

Označi vse možne ničle polinoma

$p\left(x\right)=3x^4+x^2-6x+5$ .

a)

$-5$

b)

$3$

c)

$-\frac{1}{3}$

d)

$\frac{3}{5}$

5.

Ostanek pri deljenju polinoma

p\left(x\right)=x^3+3x-10\ \

s polinomom

q\left(x\right)=x-2

je

a)

2

b)

-10

c)

4

d)

-24

6.

Predpis polinoma na sliki je

a)

$p\left(x\right)=-\left(x+3\right)\left(x+1\right)\left(x-1\right)^2-1$

b)

$p\left(x\right)=-\frac{1}{3}\left(x+3\right)\left(x+1\right)\left(x-1\right)^2$

c)

$p\left(x\right)=-\frac{2}{3}\left(x-1\right)^2\left(x+1\right)\left(x+3\right)$

d)

$p\left(x\right)=-\left(x-3\right)\left(x-1\right)\left(x+1\right)^2$

7.

Ali je polinom $p\left(x\right)=3x\left(x-4\right)^2\left(x^2-2x+1\right)$

deljiv s polinomom $q\left(x\right)=x-1$ ?

a)

Da

b)

Ne

8.

Kolikšna je najmanjša možna stopnja polinoma na sliki?

a)

3

b)

4

c)

5

d)

6

9.

Polinom $p\left(x\right)=5x\left(x-1\right)\left(x-2\right)^2\left(x-3\right)^3$

seka os x

a)

enkrat

b)

dvakrat

c)

trikrat

d)

štirikrat

10.

Polinom $p\left(x\right)=\frac{1}{2}\left(x-1\right)^2\left(x-4\right)$ ima pozitivne vrednosti pri

a)

$x\in\left(4,\ \infty\right)$

b)

$x\in\left(-\infty,\ 1\right)$

c)

$x\in\left(1,\ 4\right)$

d)

$x\in\left(1,\ \infty\right)$

Polinomi

Total questions: 10

Worksheet time: 6mins

Similar Resources on Wayground