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
g100num [7]
3 years ago
13

What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

\mathrm{Factor}\:4x^4-32x^3-60x^2:\quad 4x^2\left(x^2-8x-15\right)\\

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\x^4=x^2x^2\\=4x^2x^2-32xx^2-60x^2\\\mathrm{Rewrite\:}60\mathrm{\:as\:}4\cdot \:15\\\mathrm{Rewrite\:}32\mathrm{\:as\:}4\cdot \:8\\=4x^2x^2-4\cdot \:8xx^2-4\cdot \:15x^2\\\mathrm{Factor\:out\:common\:term\:}4x^2\\=4x^2\left(x^2-8x-15\right)

<em>Hope this helps and have a great day!!!</em>

<em>Sofia</em>

You might be interested in
Solve for x. plz help
LiRa [457]
x^2-2x+10=0\\\\ (x^2-2x+1)-1+10=0\\\\(x-1)^2+9=0\\\\ (x-1)^2=-9

Answer D
7 0
3 years ago
Read 2 more answers
I really need help on rate changes!!
mrs_skeptik [129]

Answer: The third and fourth problem are linear

Step-by-step explanation:

3rd problem follows a pattern

X  6  5   4  3

Y 21 15 10 6

6x3+3=21

5x3=15

4x2+2=10

3x2=6

Problem 4 follows a pattern as well

X value goes up 1, Y value goes up 4

4 0
3 years ago
Which of the following are solutions to the equation below?
Luden [163]

Answer:

c) -4/5

d) 4/5

Step-by-step explanation:

The given equation is 25x^2 -16 = 0

Adding 16 on both sides, we get

25x^2 = 16

Dividing both sides by 25, we get

x^2 = 16/25

Taking square root on both sides, we get

x = √(16/25)

x = ±4/5

Therefore, x = 4/5 and x = -4/5

Answers: C) and D)

Hope this will helpful to understand the concept.

Thank you.

4 0
3 years ago
Kareem and Marco went to the mall. Kareem spent $8 less than Marco spent at the mall. Kareem spent more than $15. Write an inequ
mestny [16]
Marco spent more than $23. M > 23

We know the Kareem spent 8 less than Marco and that Kareem spent more than 15. If we add 8 onto the 15, we know that Marco has to be more than 23.

To graph this, draw an open circle at 23 and have an arrow going to the right.
4 0
3 years ago
How to round to the nearest thousandth
djyliett [7]

if the number we were rounding was 2.4784

Number to the right of the thousandth digit is 4.

Since 4 is less than 5 we round down and leave the

thousandth place digit unchanged.

Answer: 2.4780  

Remember: If less than 5, round down. If 5 or greater,  

round up.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • G write the equation in spherical coordinates. (a) 7z2 = 8x2 + 8y2
    10·1 answer
  • An experiment consists of flipping a fair coin 4 times. What is the probability of obtaining at least one head?
    7·1 answer
  • 2(x+y) = 61-2y<br> 4x-4 = 18-3y
    12·1 answer
  • Find dy dx of y equals the secant of the square root of x.
    6·1 answer
  • Vertical lines always have an undefined slope true or false
    11·2 answers
  • HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
    15·2 answers
  • Whats up ReaperGodofDeath which one Black butler or Black clover
    10·2 answers
  • Find each answer mentally.
    11·1 answer
  • Use the diagrams below to find the lengths of the missing sides. Figures in each diagram are similar.
    6·2 answers
  • The expression x2 - 10x + 24 is equivalent to (1) (x + 12)(x - 2) (3) (x + 6)(x + 4) (2) (x - 12)(x + 2) (4) (x - 6)(x - 4)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!