1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GarryVolchara [31]
3 years ago
11

Please help, I have attached a picture of the question! Thank you!

Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

Factors:

A. x+3

B. 4x+3

C. x-5

Step-by-step explanation:

Given polynomial:

4x^4-21x^3-46x^2+219x+180

Rewrite it as follows:

4x^4-21x^3-46x^2+219x+180\\ \\=4x^4+12x^3-33x^3-99x^2+53x^2+159x+60x+180\\ \\=4x^3(x+3)-33x^2(x+3)+53x(x+3)+60(x+3)\\ \\=(x+3)(4x^3-33x^2+53x+60)

Now factor polynomial 4x^3-33x^2+53x+60:

4x^3-33x^2+53x+60\\ \\=4x^3-16x^2-17x^2+68x-15x+60\\ \\=4x^2(x-4)-17x(x-4)-15(x-4)\\ \\=(x-4)(4x^2-17x-15)

Now factor polynomial 4x^2-17x-15:

4x^2-17x-15\\ \\=4x^2-20x+3x-15\\ \\=4x(x-5)+3(x-5)\\ \\=(x-5)(4x+3)

Hence,

4x^4-21x^3-46x^2+219x+180=(x+3)(x-4)(x-5)(4x+3)

You might be interested in
Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.
artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

What is his net pay?

Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = \frac{23}{100}\times 1227.38 = \$282.2974

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = 1227.38-282.2974 = \$945.0826

Rounding to nearest hundred  we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

6 0
3 years ago
Please help!!!!!!!!!!!!!!!!!!
Semmy [17]
5719 hope that helps
5 0
2 years ago
T(x) = -2(-x - 3)' + 1
Anna [14]

Answer:

2

Step-by-step explanation:

3 0
2 years ago
Write the number in order starting with the smallest 1.06, 1.031,1.306,1.36
Diano4ka-milaya [45]
1.031, 1.06, 1.306, 1.36

If it helps, when you have something that only goes to the hundredths place, add a 0 to the end.
for example, 1.63= 1.630
6 0
3 years ago
Read 2 more answers
2 4/7 divided by 1 3/6 =
Rudiy27

Answer:

Step-by-step explanation:

2,57 divided by 1.5 equals

1.713

7 0
1 year ago
Read 2 more answers
Other questions:
  • Dylan is rollerblading along an 8 mile trail in the forest park she stopped for water after 2.4 miles. After another 3.1 miles,
    10·1 answer
  • Plz help ill give brainlist to you
    6·1 answer
  • 5. In 23 years the city of Cincinnati grew from 250 to 3,000. How much of a percentage increase is this?
    7·1 answer
  • Can you help me please at least do 3 question please thank you
    5·1 answer
  • A pig wights 9.8 pounds convert the pigs wight to ounces
    15·1 answer
  • The OTC monograph for a specific class of ingredients was codified in an official, legally binding
    6·2 answers
  • What is the rate of change for y = 29/5 x
    13·1 answer
  • Daria rolls a number cube. What is the probability that it will land on a 1?
    7·2 answers
  • A teacher gives a 10-point to a class of 10 children.
    9·1 answer
  • A metallurgist has one alloy containing 26% copper and another containing 69% copper. How many pounds of each alloy must he use
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!