Adding Polynomials Quiz 1

Question 1

Simplify: $$(9{{x}^{4}}+4{{x}^{3}}-x+8)+(3{{x}^{3}}+4{{x}^{2}}+6x+1)$$

Accepted Answer

$$9{{x}^{4}}+7{{x}^{3}}+4{{x}^{2}}+5x+9$$

Answer

$$9{{x}^{4}}-{{x}^{3}}+4{{x}^{2}}-5x+8$$

Answer

$$9{{x}^{4}}+7{{x}^{3}}-4{{x}^{2}}+7x+9$$

Answer

$$9{{x}^{4}}+4{{x}^{3}}+7{{x}^{2}}+5x+9$$

Question 2

Simplify: $$(2{{x}^{2}}+xy+7{{y}^{2}})+(6{{x}^{2}}-4xy+5{{y}^{2}})$$

Accepted Answer

$$8{{x}^{2}}-3xy+12{{y}^{2}}$$

Answer

$$12{{x}^{2}}-4xy+12{{y}^{2}}$$

Answer

$$12{{x}^{2}}-3xy+35{{y}^{2}}$$

Answer

$$8{{x}^{2}}+3xy+35{{y}^{2}}$$

Question 3

Simplify $$({{y}^{2}}-7xy+5{{y}^{2}}x)+(9xy-10x{{y}^{2}}-2{{y}^{2}})$$

Accepted Answer

$$2xy-5x{{y}^{2}}-{{y}^{2}}$$

Answer

$${{y}^{2}}-2xy-5x{{y}^{2}}$$

Answer

$$5x{{y}^{2}}-{{y}^{2}}+2xy$$

Answer

$$5x{{y}^{2}}-2{{y}^{2}}+2xy$$

Question 4

Simplify: $$\left( \dfrac{11}{2}{{x}^{2}}-\dfrac{5}{4}xy+\dfrac{10}{3}{{y}^{2}} \right)+\left( \dfrac{3}{2}xy-\dfrac{5}{3}{{x}^{2}}-\dfrac{1}{3}{{y}^{2}} \right)$$

Accepted Answer

$$\dfrac{23}{6}{{x}^{2}}+\dfrac{1}{4}xy+3{{y}^{2}}$$

Answer

$$\dfrac{33}{6}{{x}^{2}}+\dfrac{1}{2}xy+3{{y}^{2}}$$

Answer

$$\dfrac{23}{6}{{x}^{2}}-\dfrac{1}{4}xy+\dfrac{8}{3}{{y}^{2}}$$

Answer

$$\dfrac{43}{6}{{x}^{2}}+\dfrac{3}{4}xy-3{{y}^{2}}$$

Question 5

Subtract the sum of $$2a+6b-5{{c}^{2}}$$ and $$4a-9b+{{c}^{2}}$$ from the sum of $$4{{c}^{2}}-a-2b$$ and $$2{{c}^{2}}-3a+7b$$

Accepted Answer

$$10{{c}^{2}}-10a+8b$$

Answer

$$10a+8b-2{{c}^{2}}$$

Answer

$$10a-8b-10{{c}^{2}}$$

Answer

$$2{{c}^{2}}+2a+8b$$