Quiz about Quiz 7.04, 7.05, 7.06

Question 1

$$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$$

Accepted Answer

$$3abc^{3\ }-\ 4b$$

Answer

$$3abc\ -\ 4abc$$

Answer

$$3a^3b^2c^{4\ }-\ 4b$$

Answer

$$3abc\ +4b$$

Question 2

Factor:

$$7x+49$$

Accepted Answer

$$7\left(x+7\right)$$

Answer

$$7x\left(x+49\right)$$

Answer

$$49\left(x+7\right)$$

Answer

$$x\left(7+49\right)$$

Question 3

Factor:
x² - 5x

Accepted Answer

x(x - 5)

Answer

1(x - 5)

Answer

x(x - 5x)

Answer

x2(1 - 5)

Question 4

Factor:
$$5a^2-15$$

Accepted Answer

$$5\left(a^2-3\right)$$

Answer

$$5\left(a^2-15\right)$$

Answer

$$5a\left(a-15\right)$$

Answer

$$5a\left(a-3\right)$$

Question 5

$$12c^2-20a^2$$

Factor:

Accepted Answer

$$4\left(3c^2-5a^2\right)$$

Answer

$$2\left(6c^2-10a^2\right)$$

Answer

$$2a^2c^2\left(6-10\right)$$

Answer

$$4\left(ca\right)^2\left(3-5\right)$$

Question 6

Factor:
$$18x^4-12x^2$$

Accepted Answer

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

Answer

$$x^2\left(18x^2-12\right)$$

Answer

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

Answer

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

Question 7

Factor:
$$15xy+30x^2y^2$$

Accepted Answer

$$15xy\left(1+2xy\right)$$

Answer

$$xy\left(15+30xy\right)$$

Answer

$$15\left(xy+2x^2y^2\right)$$

Answer

$$5xy\left(3+6xy\right)$$

Question 8

Fully Factor the Following

16x²+25

Accepted Answer

Unfactorable

Answer

(4x-5)(4x+5)

Answer

(4x+5)(4x-5)

Answer

(4x+5)2

Question 9

Factor completely

45xy + 15x³y + 10y

Accepted Answer

5y (9x + 3x³ + 2)

Answer

5y (9xy + 3x²+ 2y)

Answer

5xy (9 + 3x²+ 2)

Answer

5x (9y + 3xy + 2)

Question 10

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

Accepted Answer

2 ( 3x + 5 ) ( 3x - 5 )

Answer

2 ( 9x² - 25 )

Answer

( 3x + 5 ) ( 3x - 5 )

Answer

2 ( 3x - 5 ) ( 3x - 5 )

Question 11

Fully Factor the Following, Hint: Take the GCF out first.

4x²-16

Accepted Answer

4(x-2)(x+2)

Answer

(2x-4)(2x+4)

Answer

(4x-4)(4x+4)

Answer

4(x-2)2

Question 12

Completely factor 3x²- 75. Hint: take the GCF out first.

Accepted Answer

3( x + 5 ) ( x - 5 )

Answer

Prime

Answer

( x + 5 ) ( x - 5 )

Answer

3( x - 5 ) ( x - 5 )

Question 13

Factor completely.

64x² - 49y²

Accepted Answer

( 8x + 7y ) ( 8x - 7y )

Answer

( 8x + 7 ) ( 8x - 7 )

Answer

( 8x - 7y ) ( 8x - 7y )

Answer

( 8x - 7y )²

Question 14

Factor completely.

a² - 16b²

Accepted Answer

( a + 4b ) ( a - 4b )

Answer

( a - 4b ) ²

Answer

( a - 4b ) ( a - 4b )

Answer

( a + 2b ) ( a - 8b )

Question 15

Factor:

$$100-x^2$$

Accepted Answer

$$\left(10+x\right)\left(10-x\right)$$

Answer

$$\left(10+x^2\right)\left(10-x^2\right)$$

Answer

$$\left(100+x\right)\left(100-x\right)$$

Answer

$$\left(x+10\right)\left(x-10\right)$$

Question 16

We can't factor using difference of two square this

49x² + 4y². Why?

Accepted Answer

Because we can't factor using difference of two squares if it is addition sign.

Answer

Because 4 is not a perfect cubed number.

Answer

Because 4 is not a perfect squared number.

Answer

Because 49 is not a perfect squared number.

Question 17

Factor using a GCF AND difference of squares:

Accepted Answer

3)

Answer

1)

Answer

2)

Answer

4)

Question 18

Factor using a GCF AND difference of squares:

Accepted Answer

2)

Answer

1)

Answer

3)

Answer

4)

Question 19

Which expressions are equivalent to 49x²- 64?

Select ALL that apply.

Accepted Answer

(7x + 8)(7x - 8)

Accepted Answer

(7x)² - (8)²

Answer

(7x - 8)(7x - 8)

Answer

(7x + 8)(7 + 8)

Answer

(7x)² + (-8)²

Quiz 7.04, 7.05, 7.06

25 questions

$\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$

$\frac{-12a^{4\ }+\ 6a^3}{6a^3}$

$\frac{\left(m^2n+m^6n^3\right)}{mn}$

Factor:
x² - 5x

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Quiz 7.04, 7.05, 7.06

25 questions

(8x4+6x3−10x2)2x2\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}2x2(8x4+6x3−10x2)​

−12a4 + 6a36a3\frac{-12a^{4\ }+\ 6a^3}{6a^3}6a3−12a4 + 6a3​

(m2n+m6n3)mn\frac{\left(m^2n+m^6n^3\right)}{mn}mn(m2n+m6n3)​

Factor:x2 - 5x

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$\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$

$\frac{-12a^{4\ }+\ 6a^3}{6a^3}$

$\frac{\left(m^2n+m^6n^3\right)}{mn}$

Factor:
x² - 5x