Which number makes the statement true

Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x

Morgarella [4.7K]

Answer: $x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}$

Step-by-step explanation:

P(x) = x⁴ - 3x² + 4x + 5

g(x) = x² + 5

_x²_- 8

x² + 5) x⁴ + 0x³ - 3x² + 4x + 5

-(x⁴ + 0x³ + 5x²) ↓ ↓

-8x² + 4x + 5

-(-8x² + 0x - 40)

4x + 45

$\dfrac{x^4-3x^2+4x+5}{x^2+5}=\large\boxed{x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}}$

5 0

4 years ago

Directions: Fill in the blank place value chat. Round to the nearest place value 2.431 what is the nearest whole number and the

sergejj [24]

Answer:

3,266.53

Rounded to the nearest 0.01 or

the Hundredths Place.

Step-by-step explanation:

4 0

3 years ago

A rectangular piece of land measures 20 feet by 15 feet. James created a cement sidewalk, x feet wide, to border a rectangular g

Irina-Kira [14]

Answer:

The second and fourth answer are correct

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!!! The total yield of rice in a farm is 10^8 kg, and the land is10^5 km. What is the output of rice every km? (the

Margaret [11]

Answer:

10^3 kg

Step-by-step explanation:

Think about it that you have the total yield 10^8 kg of rice from 10^5 km^2 of land. You now only want How much does 1 km^2 of land produce. Which can be shown as

10^8/10^5=??/1. To get the denominator to equal one you divide the top and bottom of the first problem by 10^5. 10^8/10^5 is 10^3. So it's 10^3 kg

6 0

3 years ago

Read 2 more answers

The area of a rectangle is 192 in2. The ratio of the length to the width is 4:3. Find the length and the width.

creativ13 [48]

Step-by-step explanation:

let the length and breadth's ratio be 4x and 3x

Given, 

area of rectangle = 192 in²

we know,

Area of rectangle = L × B/w 

after inserting the values in the formula we got,

→ 4x × 3x = 192 

→ 12x² = 192

→ x² = 192/12 = 16

→ x² = 16

→ x = √16 = 4

→ x = 4

therefore , length and breadth/width are,

length = 4x = 4×4 = 16

width = 3x = 3×4 = 12

hence length is 16 in. and width is 12in.

hope this answer helps you dear.....take care and may u have a great day ahead!

4 0

3 years ago