All categories

3 years ago

Factor completely 4x4 − 24x3 + 36x2.

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

$4x^4-24x^3+36x^2$

Taking out the greatest common factor.

$4x^2(x^2-6x+9)$

$4x^2(x^2-3x-3x+9)$

$4x^2(x(x-3)-3(x-3))$

$4x^2(x-3)(x-3)$

$4x^2(x-3)^2$

The complete factor form of the given expression is $4x^2(x-3)^2$ .

Therefore the correct option is 1.

ehidna [41]3 years ago

3 0

Factor out 4x² from everybody
4x²(x²-6x+9)
factor inner
what 2 numbers multipliy to gete 9 and add to get -6
-3 and -3
4x²(x-3)(x-3)
or
4x²(x-3)²

first option

You might be interested in

Is 10−−√ greater than, less than, or equal to 5? Use the drop-down menus to explain your answer. Because 10 lies between two con

Ierofanga [76]

Answer:

$\sqrt{10} < 5$

Step-by-step explanation:

Given

$\sqrt{10}$ ___ $5$

Required

Fill in the gap

First, we need to solve $\sqrt{10}$

$\sqrt{10}= 3.162$

So:

$\sqrt{10}$ ___ $5$

becomes

3.162 ___ 5

3.162 lies between 3 and 4

So, we can say that

$\sqrt{10}$ lies between 3 and 4

Since:

3.162 is less than 5, the gap can be filled with <.

So, we have: 3.162 < 5

3 0

3 years ago

use the circle graph show below to answer the question a pie chart labeled favorite sports to watch is divided into into three p

mart [117]

From the pie chart described, the percent of people that responded that football was their favorite sport to watch is 42% which represents 210 of the people surveyed.

Let the number of people surveyed be x, then

$42%\ of\ x=210 \\ \\ \Rightarrow0.42x=210 \\ \\ \Rightarrow x= \frac{210}{0.42} =500$

Therefore, the number of people surveyed is 500 people.

6 0

3 years ago

A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients ar

soldier1979 [14.2K]

C.) 53.1% is the answer

6 0

4 years ago

Read 2 more answers

What is the product? 4 cubed times 4 Superscript negative 3 0 1 4 6

Julli [10]

Answer:

4³ × 4 ^-3