Multiplying and Dividing Polynomials

Multiplying and Dividing Polynomials

By Matheus Andrade

Multiple Choice

Calculate $$\left(2x\right)\times\left(15x\right)$$  

• $$30x^2$$  

• $$30x$$  

• $$30$$  

• $$7,5x^2$$  

Multiple Choice

Calculate $$\left(3ab\right)\times\left(6ab^2\right)$$   

•   $$9ab$$  

•   $$18ab^{ }$$  

•   $$9a^2b^2$$  

•   $$18a^2b^3$$  

Multiple Choice

Calculate $$\left(6x\right)\times\left(12x^2\right)$$  

• $$72x^2$$  

• $$60x^2$$  

• $$72x^3$$  

• $$60x^3$$  

Multiple Choice

Calculate $$\left(-8x^2\right)\times\left(20x^3\right)$$  

• $$160x^2$$  

• $$-160x^4$$  

• $$-160x^5$$  

• $$160x^5$$  

Multiple Choice

Calculate $$\left(4x^2y\right)\times\left(7xy^2\right)$$  

• $$28x^2y$$  

• $$28x^2y^2$$  

• $$28xy$$  

• $$28x^3y^3$$  

Multiple Choice

Calculate   $$\left(-2x^3y^2\right)\times\left(-9x^4y^7\right)$$   

• $$18x^7y^9$$   

•   $$18x^9y^7$$  

•   $$-18x^7y^9$$  

Multiple Choice

Calculate   $$\left(-9x^3y\right)\times\left(3xy^4z\right)$$    

• $$-27x^3y^5z$$    

•   $$-27x^4y^5z^{ }$$   

•   $$-27x^4y^4$$   

Multiple Choice

Calculate   $$\left(\sqrt[]{2}\cdot x^4\right)\cdot\left(\sqrt[]{8}\cdot x^3\right)$$    

•    $$4x^4$$  

•    $$16x^7$$  

•    $$4x^7$$  

Multiple Choice

Calculate   $$\left(\sqrt[]{3}\cdot x^4y^2\right)\cdot\left(\sqrt[]{12}\cdot x^3y\right)$$    

•    $$12x^4y^3$$  

•    $$6x^7y^3$$  

•    $$4x^7y^2$$  

Multiple Choice

If we multiply a 3rd degree monomial by a 4th degree monomial, the resulting monomial would be

•    1st degree

•    3rd degree

•    4th degree

• 7th degree

• 12nd degree

Multiple Choice

Calculate $$(5𝑥)\cdot(5𝑥^2+2𝑦)$$  

• $$25x^2+10x$$

• $$25x^3+10xy$$

• $$25x^3+10y$$

• $$25x^2+10x^2y$$

• $$10x^3+7xy$$

Multiple Choice

Calculate $$(2𝑥)\cdot(3𝑥-4𝑦)$$  

• $$6x^2-8x𝑦$$

• $$6x^{ }-8x𝑦$$

• $$6x^2-8x$$

Multiple Choice

Calculate $$(3a^2b-7ab^2)\cdot(2a^2b^2)$$  

• $$6a^4b^3-14a^3b^4$$

• $$6a^3b^3-14a^3b^3$$

• $$6a^2b^3-14a^3b^2$$

• $$6a^2b^2-14a^2b^2$$

Multiple Choice

Determine the monomial that multiplied by $$3a^2b$$  results $$12a^3bc$$  

• 4ab

• 4ac

• 4abc

• 4b

• 4c

Multiple Choice

Calculate $$\frac{30x^7}{6x^3}$$    

• $$5x^2$$  

• $$4x^3$$  

• $$5x^4$$  

Multiple Choice

Calculate $$\frac{72x^4y^5z^6}{-9x^3y^3z^3}$$    

• $$-8xy^2z^3$$  

• $$-8x^2yz^3$$   

• $$-8$$   

Multiple Choice

Calculate $$\frac{24x^3+9x^{ }}{3x}$$    

•   $$8x^2-3x$$  

• $$8x^2+3$$    

•    $$6x^2+6x^{ }$$  

Multiple Choice

Calculate $$\frac{16x^5-40x^9}{4x^2}$$    

•   $$4x^3-10x^9$$  

• $$4x^3-10x^7$$    

•    $$4x-10x^7$$  

Multiple Choice

Calculate $$\frac{27x^4y^2-18x^3y^3+9x^2y}{3xy}$$    

•   $$9x^3y^{ }-6x^2y^2+x$$  

• $$4x^3-10x^7$$    

•    $$9x^3y^{ }-6x^2y^2+3x$$  

Multiple Choice

What is the polynomial that represents the area of the orange region?  

•   $$3yx-x^2$$   

•     $$3yx-x$$  

• $$3yx^2-x^{ }$$  

• $$3yx+x^2$$  

Open Ended

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