All categories

2 years ago

Turn the equation into factored form Y=x^3+3x^3-6x-8

1 answer:

5 0

Y = x³ + 3x² - 6x - 8, to get the factored form put y = 0,
x³ + 3x² - 6x - 8 = 0, x³ + x² + 2x² + 2x - 8x - 8 = 0,
x²(x + 1) + 2x(x + 1) - 8(x + 1) = 0,
(x + 1)(x² + 2x - 8) = 0, (x + 1)(x² + 4x - 2x -8) = 0,
(x + 1)(x[x + 4] - 2[x +4]) = 0,
(x +1)(x +4)(x - 2) = 0, this is the factored form.
x = -1, -4, 2.

You might be interested in

If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

$(x - x)^2 + (y-b)^2 = r^2$

First we will find the centre, (a , b):

$a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$

Find radius:

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

$diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\$

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

Equation of the circle is :

$(x - 1)^2 +(y-1)^2 = 13$

4 0

2 years ago

A store sells four-packs of permanent markers in assorted colors for $3.19 per pack. All spiral-bound notebooks, whether wide-ru

ratelena [41]

4*$3.19x + $1.20yz * 6% = ta

6 0

2 years ago

Read 2 more answers

A blueprint of a barn is shown. The scale is 5 inches = 8

arlik [135]

Answer:

number c

Step-by-step explanation:

4 x 5 = 20

4x 8 = 32

5 x 5 = 32

5 x 8 = 40

Hope this helps ;)

8 0

2 years ago

When solving a system of inequalities, which of the following methods are used? A.guess and check

yarga [219]

Answer:

Option B - graphing is the correct answer.

Step-by-step explanation:

To solve a system of inequalities we need graphing. Inequality tells us about the relative size of two values. When we graph the x and y co-ordinates, the solution is not the drawn line, but the area of the coordinate plane that satisfies the inequality. In inequalities, multiple solutions can be possible.

Plug and chug method does not a complete solution, it only tells where a point belongs. Guess and check does not apply here.

7 0

3 years ago

The Empire State Building weights about 7.3 x 10 ^8

kvasek [131]

Answer:

730000000 lbs?

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers