3 years ago

Factorize:x^4 - 6x^2 - 27

Mathematics

1 answer:

VashaNatasha [74]3 years ago

8 0

x^4 - 6x^2 - 27

Let u = x^2

We know that x^4 = (x^2)^2.

u^2 - 6u - 27

(u - 9)(u + 3)

Now, back-substitite for u.

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

The RIGHT SIDE FACTOR is the difference of two squares.

So, x^2 - 9 becomes (x - 3)(x + 3).

(x - 3)(x + 3)^2

Done.

You might be interested in

All of the following expressions have the same value, except . . .

miss Akunina [59]

Answer: -3/7- 4/7

Step-by-step explanation:

7 0

3 years ago

V=u+at u=2 a=15 t=1/5 what is the value of v

alukav5142 [94]

Answer and explanation:

V originally equals u + at, but when you plug in u, a, and t you get a number answer.

u = 2

a = 15

t = 1/5

Rewrite the expression with the numbers plugged in.

V = (2) + (15)(1/5) <em>Multiply 15 by 1/5</em>

V = 2 + 3 <em>Add 2 and 3 together</em>

V = 5

<h2><u>So V would equal 5</u></h2>

7 0

3 years ago

What is the y-intercept of the line whose equation is y = –2x + 8?

g100num [7]

Answer:

(0,8)

Step-by-step explanation:

y = –2x + 8

The y intercept is found when x =0

y = –2*0 + 8

y = 8

The y intercept is

(0,8)

3 0

3 years ago

Factor<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B18%20x%5E%7B-2%7Dy%20%5E%7B2%7D%20%7D%7B2%20x%5E%7B2%7D%20y%7D%20" id=

GuDViN [60]

When you write terms in denominator on numerator, sign of indices changes.
$\frac{18x^{-2}y^{2}}{2x^{2} y} = \frac{(18x^{-2}y^{2})*(x^{-2}y^{-1})}{2} 
 = 9(x^{-4} y^{1})$

6 0

4 years ago

On a coordinate plane, a graph has number of inches on the x-axis and number of miles on the y-axis. A line goes through points

sergejj [24]

Answer:

y = 5x

Step-by-step explanation:

6 0

3 years ago

Factorize:x^4 - 6x^2 - 27​

Factorize:x^4 - 6x^2 - 27