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

Can someone help me out please, thank you.

Nutka1998 [239]

Here are a few rules about exponents you should know:

Multiplying exponents of the same base: $x^m*x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Powering a power to a power: $(x^m)^n=x^{m*n}$
Converting a negative exponent into a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$

Firstly, multiply the y bases: $\frac{z^5}{(-y^{-4}y^{-1}x^3)^{-3}}=\frac{z^5}{(-y^{-4+-1}x^3)^{-3}}=\frac{z^5}{(-y^{-5}x^3)^{-3}}$

Next, solve the power: $\frac{z^5}{(-y^{-5}x^3)^{-3}}=\frac{z^5}{-y^{-5*-3}x^{3*-3}}=\frac{z^5}{-y^{15}x^{-9}}$

Finally, convert the negative exponent into a positive one and <u>your final answer will be: $-\frac{z^5x^9}{y^{15}}$ </u>

5 0

3 years ago

Need some help give a reason to your answer<br> like an explanation<br> giving brainliest

miskamm [114]

I’m on the same question

4 0

3 years ago

Best/correct answer gets brainliest.

uysha [10]

A median of a triangle is a segment that joins a vertex to the midpoint of the opposite side.
The centroid of a triangle is the point where all medians intersect.
That makes segments AE, CD and BF medians of triangle ABC.
The only median in the choices is CD.

Answer: B) Segment CD

4 0

3 years ago

Need help solving for X

RUDIKE [14]

I hope this helps you

6 0

3 years ago

PLS HELP !!

Oliga [24]

For this case we have that the weight of the bouquet of flowers will be:
4.3 * 10 ^ 4 - 2 * (7.5 * 10 ^ 2)
Rewriting we have:
4.1 * 10 ^ 4 miligrams
Thus, we have that the values of p and q are given by:
p = 4.1
q = 4
Answer:
4.1 * 10 ^ 4 miligrams
p = 4.1
q = 4

8 0

4 years ago

Read 2 more answers