Quiz about solving problems multiplying polynomials C8

Question 1

Find the area of a rectangle whose lenght is 2x + 8 and width y +8

Accepted Answer

2xy+16x+8y+64

Answer

3xy+10x+8y+64

Answer

2xy-16x+8y+64

Question 2

$$\left(\frac{1}{5}a-\frac{1}{3}b\right)\left(\frac{3}{7}a\right)$$

Accepted Answer

$$\frac{3}{35}a-\frac{1}{7}ab$$

Answer

$$\frac{3}{7}a-\frac{3}{8}ab$$

Answer

$$\frac{3}{35}a-\frac{1}{7}b$$

Question 3

$$3m^x\left(5m^5+m^x-2\right)$$

Accepted Answer

$$15m^{x+5}+3m^{2x}-6m^x$$

Answer

$$-15m^{x+5}-3m^{2x}-6m^x$$

Answer

$$15m^{2x+5}+3m^x-6m^{2x}$$

Question 4

$$-8w^{y-2}\left(-2w^{y+3}+3w^y-4w^5\right)$$

Accepted Answer

$$16w^{2y+1}-24w^{2y-2}+32w^{y+3}$$

Answer

$$-16w^{2y+1}+24w^{2y-2}+32w^{y+3}$$

Answer

$$16w^{2y+1}-24w^{2y}+32w^{y+3}$$

Question 5

$$\left(\frac{1}{21}t+\frac{8}{5}s\right)\left(-\frac{3}{5}tw^2\right)$$

Accepted Answer

$$-\frac{1}{35}t^2w^2-\frac{24}{25}tw^2s$$

Answer

$$-\frac{1}{35}t^2w^2-\frac{24}{25}tw^2$$

Answer

$$\frac{1}{35}t^2w^2-\frac{24}{25}tw^2s$$

Answer

$$-\frac{1}{35}t^2w-\frac{24}{25}tw^2s$$

Question 6

$$7x^{y+3}\left(-4x^{y+1}-5x^{y-3}\right)$$

Accepted Answer

$$-28x^{2y+4}-35x^{2y}$$

Answer

$$-28x^{y+4}-35x^{2y}$$

Answer

$$28x^{2y+4}-35x^{2y}$$

Question 7

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 8

-5x⁶(3x² - 12x + 30)

Accepted Answer

-15x⁸+ 60x⁷- 150x⁶

Answer

15x⁸- 60x⁷- 150x⁶

Answer

8x⁶- 17x + 35

Answer

-8x⁶+ 17x - 35x²

Question 9

Multiply 7x²y³ (2x⁴y⁵+6xy³)

Accepted Answer

14x⁶y⁸+42x³y⁶

Answer

14x⁸y¹⁵+42x²y⁹

Answer

9x⁶y⁸+13x³y⁶

Answer

14x⁶y⁸+42x²y⁶

Question 10

5xy(6x-y)

Accepted Answer

30x²y - 5xy²

Answer

11x² - y²

Answer

30x² + y²

Answer

11x²y + 5x²y²

Question 11

(x + 7)(x + 9)

Accepted Answer

x² + 16x + 63

Answer

x² + 63x + 16

Answer

x2 + 79

Answer

x² + 16x + 2

Question 12

Find the area of this rectangle

Accepted Answer

28x2

Answer

11x2

Answer

28x

Answer

11x

Question 13

Find the area of the garden

Accepted Answer

6a³+12a²-15a

Answer

-6a³+12a²-15a

Answer

6a³-12a²-15a

Answer

6a³+7a²-15a

Question 14

Find the area

Accepted Answer

8x2+14x+6

Answer

8x2+2x+6

Answer

8x2-2x+6

Answer

8x2-14x+6

Question 15

Find the area

Accepted Answer

25x2-20x

Answer

25x2+20x

Answer

10x2-9x

Answer

10x2+9x

Question 16

(x - 2)(x² + x + 1)

Accepted Answer

x³- x² - x - 2

Answer

x³- 3x² - 3x - 2

Answer

x³+ x² - x - 2

Answer

x³+ 3x² + 3x - 2

Question 17

(2a² + 5a + 3)(a² - 3a - 4)

Accepted Answer

$$2a^4-a^3-20a^2-29a-12$$

Answer

$$2a^4-a^3-15a^2-29a-12$$

Answer

$$2a^4-a^3-21a^2-29a-12$$

Answer

$$2a^4-a^3+20a^2-29a-12$$

Question 18

(x + b)(2x + 3b + 4)

Accepted Answer

2x² + 5xb + 4x + 4b + 3b²

Answer

3x² + 6xb + 5x + 3b²

Answer

2x² + xb + 4x + 4b + 3b²

Answer

2x² + 10xb + 3b²

Question 19

(x + 1)(x + 2)(x + 3)

Accepted Answer

x³ + 6x²+ 11x + 6

Answer

x² + 3x + 2

Answer

x³ + 5x² + 12x + 6

Answer

x³ + 9x²+ 12x + 6

Question 20

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

Accepted Answer

-2ab

Answer

2a²- ab - 2b²

Answer

a²- 4ab - 4b²

Answer

2a2 - 4b2

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