Quiz about Polinomis

Question 1

$$4a\ ·\ 2a^2\ ·\ 2a\ =$$

Accepted Answer

$$16a^4$$

Answer

$$8a^2$$

Answer

$$8a^4$$

Answer

$$16a^2$$

Question 2

$$18x^3\ :\ 9x^2=$$

Accepted Answer

$$2x$$

Answer

$$9x$$

Answer

$$2x^5$$

Answer

$$9x^5$$

Question 3

$$12x\ ·\ x^2·\ \left(-4x^2\right)=$$

Accepted Answer

$$-48x^5$$

Answer

$$8x^5$$

Answer

$$-48x^2$$

Answer

$$-48x^4$$

Question 4

$$50x^2:\ \left(-5x\right)=$$

Accepted Answer

$$-10x$$

Answer

$$-45x$$

Answer

$$45x^2$$

Answer

$$10x$$

Question 5

$$8a^4·\ \left(-4a^3\right)=$$

Accepted Answer

$$-32a^7$$

Answer

$$4a^7$$

Answer

$$4a$$

Answer

$$32a$$

Question 6

$$-12ab^3:\ a^2=$$

Accepted Answer

$$-12a^{-1}b^3$$

Answer

$$-12a^3b^3$$

Answer

$$12a^3b^3$$

Answer

$$12ab^3$$

Question 7

$$7a\ ·\ \left(-7a^3\right)=$$

Accepted Answer

$$-49a^4$$

Answer

$$49a^4$$

Answer

$$-49a^2$$

Answer

$$0$$

Question 8

$$-14ab\ +18c\ -\ 12ab\ +\ 12c\ +\ c\ =$$

Accepted Answer

$$-26ab\ +\ 31c$$

Answer

$$-2ab\ +31c$$

Answer

$$-26a^2b^2+31c^3$$

Answer

$$-2a^2b^2+31c$$

Question 9

$$46x-25x+23x=$$

Accepted Answer

$$44x$$

Answer

$$94x^3$$

Answer

$$94x$$

Answer

$$44x^3$$

Question 10

$$-x^2+x+x^2+5x-2x^2=$$

Accepted Answer

$$-2x^2+6x$$

Answer

$$4x^3$$

Answer

$$4x$$

Answer

$$8x^3$$

Question 11

$$-4a-9a^2+5a+10a^2=$$

Accepted Answer

$$a^2+a$$

Answer

$$2a$$

Answer

$$2a^2$$

Answer

$$2a^3$$

Question 12

$$4x^2+3x+7x^2+3x-5x^2=$$

Accepted Answer

$$6x^2+6x$$

Answer

$$12x^3$$

Answer

$$6x^3$$

Answer

$$22x^3$$

Question 13

$$-15b+12c+15b-12c+13b=$$

Accepted Answer

$$13b$$

Answer

$$-13b$$

Answer

$$67bc$$

Answer

$$13bc$$

Question 14

Calcula P(x) + Q(x) i P(x) - Q(x) en cada cas:

a) $$P\left(x\right)=3x+2x^2-x-4,\ Q\left(x\right)=x^3-x^2-9x+3$$

b) $$P\left(x\right)=x^7-8x^4+3,\ Q\left(x\right)=x^5+3x^3-6$$

c) $$P\left(x\right)=10x^4+x^2+1,\ Q\left(x\right)=x^5+7x^2-x$$

Accepted Answer

a) $$P\left(x\right)+Q\left(x\right)=x^3+x^2-7x-1$$ $$P\left(x\right)-Q\left(x\right)=-x^3+3x^2+11x-7$$

b) $$P\left(x\right)+Q\left(x\right)=x^7+x^5-8x^4+3x^3-3$$ $$P\left(x\right)-Q\left(x\right)=x^7-x^5-8x^4-3x^3+9$$ c) $$P\left(x\right)+Q\left(x\right)=x^5+10x^4+8x^2-x+1$$ $$P\left(x\right)-Q\left(x\right)=-x^5+10x^4-6x^2+x+1$$

Answer

a) $$P\left(x\right)+Q\left(x\right)=11x^{10}-1$$ $$P\left(x\right)-Q\left(x\right)=x^3+3x^2-1$$

b) $$P\left(x\right)+Q\left(x\right)=x^{15}+9$$

$$P\left(x\right)-Q\left(x\right)=3x^5-2x^2+3$$

c) $$P\left(x\right)+Q\left(x\right)=21x^6+1$$

$$P\left(x\right)-Q\left(x\right)=5x^3-x+1$$

Answer

a) $$P\left(x\right)+Q\left(x\right)=x^3+3x^2+13x+7$$ $$P\left(x\right)-Q\left(x\right)=x^3-x^2-5x-1$$

b) $$P\left(x\right)+Q\left(x\right)=x^{12}+11x^7+9$$

$$P\left(x\right)-Q\left(x\right)=x^2-11x-3$$

c) $$P\left(x\right)+Q\left(x\right)=11x^9+8x^4-x+1$$

$$P\left(x\right)-Q\left(x\right)=9x-6x+1$$

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