Free Printable 6.2/6.3 Quiz

1.

Find the product

\left(2k^2-k-5\right)\left(2k^2+5k+7\right)

a)

$28k^4-21k^3-68k^2-63k-20$

b)

$25k^4-80k^3+19k^2+72k+8$

c)

$4k^4+8k^3-k^2-32k-35$

d)

$25k^4+64k^2+8$

2.

Find the product

\left(2x^2-x-6\right)\left(-4x^2+x+6\right)

a)

$-8x^4-x^2-36$

b)

$-8x^4+6x^3+35x^2-12x-36$

c)

$-2x^4+11x^3-9x^2+8x+20$

d)

$-8x^4+2x^3+37x^2-36$

3.

Find the product $\left(5x^2-4x+6\right)\left(3x^2-7x+7\right)$

a)

$15x^4+28x^2+42$

b)

$15x^4-23x^3+25x^2-14x+42$

c)

$15x^4+23x^3+25x^2+14x+42$

d)

$15x^4-47x^3+81x^2-70x+42$

4.

Find the product $\left(a^2-6ab+b^2\right)\left(-2a^2-6ab-4b^2\right)$

a)

$-2a^4+6a^3b+30a^2b^2+18ab^3-4b^4$

b)

$-2a^4+5a^3b^2+42b^4$

c)

$-2a^4+9a^3b-41ab^3+42b^4$

d)

$-2a^4+36a^2b^2-4b^4$

5.

Find the product $\left(x^2-6xy-7y^2\right)\left(-2x^2-6xy-4y^2\right)$

a)

$-24x^4-45x^3y+42x^2y^2+21xy^3-12y^4$

b)

$-2x^4+36x^2y^2+28y^4$

c)

$-2x^4-18x^3y-26x^2y^2+18xy^3+28y^4$

d)

$-2x^4+6x^3y+46x^2y^2+66xy^3+28y^4$

6.

Find the product $\left(-4a^2-6ab+5b^2\right)\left(8a^2+5ab-5b^2\right)$

a)

$-32a^4-68a^3b+30a^2b^2+55ab^3-25b^4$

b)

$-32a^4-30a^2b^2-25b^4$

c)

$-32a^4-28a^3b+90a^2b^2-5ab^3-25b^4$

d)

$-32a^4+28a^3b+90a^2b^2-5ab^3-25b^4$

7.

Expand $\left(2x-1\right)^4$ completely.

a)

$96x^4-120x^3+80x^2-30x+6$

b)

$16x^4-8x^3+4x^2-2x+1$

c)

$16x^4-32x^3+24x^2-8x+1$

d)

$80x^4-80x^3+40x^2-10x+1$

8.

Expand $\left(x-4y\right)^3$ completely.

a)

$x^3-4x^2y+16xy^2-64y^3$

b)

$5x^3-40x^2y+160xy^2-320y^3$

c)

$x^3-12x^2y+48xy^2-64y^3$

d)

$x^3-4x^2y+48xy^2-64y^3$

9.

Find the 3rd term in the expansion of $\left(4m-n\right)^4$

a)

$96m^2n^2$

b)

$-25m^3n$

c)

$-16mn^3$

d)

$16m^2n^2$

10.

Find the 3rd term in the expansion of $\left(2v^4+u^4\right)^3$

a)

$12v^8u^4$

b)

$6v^4u^8$

c)

$2v^4u^8$

d)

$v^4u^8$

11.

A businessman models the number of items (in thousands) that his company sold from 1998 through 2004 as $N\left(=x\right)=-0.1x^3+x^2-3x+4$ and the average price per item (in dollars) as $P\left(x\right)=0.2x+5$ , where x represents the number of years since 1998. Write a polynomial R(x) that can be used to model the total revenue for his company.

a)

$R\left(x\right)=-0.02x^3+0.2x^3-0.6x^2+0.8x$

b)

$R\left(x\right)=-0.02x^4-0.3x^3+4.4x^2-14.2x+20$

c)

$R\left(x\right)=-0.5x^4+5x^2-15x+20$

d)

$R\left(x\right)=-0.02x^4+0.3x^3-4.4x^2+14.2x-20$

12.

The volume of a stock, or number of shares traded, is modeled over time during a given day by $S\left(x\right)=x^5-3x^4+10x^2-6x+30$ . The cost per share of that stock during that day is modeled by $C\left(x\right)=0.004x^4-0.02x^2+0.3x+4$ . Write a polynomial function V(x) to model the changing value during that day of the trades made of shares of that stock.

a)

$V\left(x\right)=0.004x^9+0.012x^8+0.02x^7-0.4x^6+3.076x^5+12.08x^4-3.12x^3-37.6x^2+15x-120$

b)

$V\left(x\right)=-0.004x^9-0.012x^8-0.02x^7+0.4x^6+3.076x^5-12.08x^4+3.12x^3+37.6x^2-15x\ +120$

c)

$V\left(x\right)=0.004x^9-0.012x^8-0.02x^7+0.4x^6+3.076x^5-12.08x^4+3.12x^3+37.6x^2-15x\ +120$

6.2/6.3 Quiz

Total questions: 12

Worksheet time: 50mins

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