All categories

3 years ago

Using the grouping method to factor the polynomial below completely. x^3+2x^2+4x+8

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer: $(x+2)(x^2+4)$

Step-by-step explanation:

$x^3+2x^2+4x+8$

$(x^3+2x^2)+(4x+8)\\x^2(x+2)+4(x+2)$

$(x+2)(x^2+4)$

You might be interested in

20 POINTS‼️‼️Which of the following does NOT represent the number of months in a year?

NeTakaya

Answer:

B because when you multiply the first number by twelve the first two are correct but the second ones are not

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The perimeter of a semicircle is 5.14 feet. What is the semicircle’s area?

hammer [34]

$\bf \textit{circumference of a semi-circle}\\\\
C=\pi r\qquad 
\begin{cases}
r=radius\\
-----\\
C=5.14
\end{cases}\implies 5.14=\pi r\implies \boxed{\cfrac{5.14}{\pi }=r}\\\\
-------------------------------\\\\
\textit{area of a semi-circle}\\\\
A=\cfrac{\pi r^2}{2} \implies A=\cfrac{\pi }{2}r^2\implies A=\cfrac{\pi }{2}\left( \boxed{\cfrac{5.14}{\pi }} \right)^2
\\\\\\
A=\cfrac{\pi }{2}\implies \cfrac{5.14^2}{\pi ^2}\implies A=\cfrac{26.4196}{2\pi }\implies A=\cfrac{13.2098}{\pi }$

5 0

3 years ago

Urgent. Factor the trinomial by grouping. Please show work. 14x^2y+9xy^2+y^3. If prime, show how you got prime answer.

ch4aika [34]

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

3 0

2 years ago

When fractions share the same number on the bottom they have a?

Snezhnost [94]

Fractions that have the same number on the bottom have a "common denominator."

6 0

3 years ago

PLEASE I NEED HELP!!

Maksim231197 [3]

By 91 dollars
because 22.75 times 4 is 91

3 0

2 years ago

Read 2 more answers