All categories

3 years ago

Use the grouping method to factor the polynomial below completely. 3x^3 + 9x^2 + 4x + 12

Mathematics

1 answer:

Alex3 years ago

4 0

Answer:

$(x+3)(3x^{2}+4)$

Step-by-step explanation:

$3x^{3}+9x^{2}+4x+12\\3x^{2}(x+3)+4(x+3)\\(x+3)(3x^{2}+4)$

You might be interested in

Which 2 expressions are equivalent?

LuckyWell [14K]

Answer:

i had this question it's right

6 0

2 years ago

Read 2 more answers

Jill’s coach used a computer program to help her improve the distance she can throw a softball. The computer gave a readout of t

Jlenok [28]

Answer:

11.08 feet

Step-by-step explanation: I just got it wrong and it told me the answer. :/

5 0

2 years ago

Read 2 more answers

PLEASE ANSWER 20 POINTS

makkiz [27]

X=58 the exterior angle is “D” 60degrees

8 0

3 years ago

What is the sum of the first 4 terms of a geometric sequence that has a first term of 2 and a ratio (multiplier) of 8?

taurus [48]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=2\\ r=8\\ n=4 \end{cases} \\\\\\ S_4=2\left( \cfrac{1-8^4}{1-8} \right)\implies S_4=2\left( \cfrac{-4095}{-7} \right) \\\\\\ S_4=2(585)\implies S_4=1170$

6 0

2 years ago

What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End

Paladinen [302]

Answer:

there are two solutions:

a) $y=\frac{-6+2\sqrt{6} }{5}$ , and

b) $y=\frac{-6-2\sqrt{6} }{5}$

Step-by-step explanation:

In the equation: $(5y+6)^2=24$ , since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

$(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}$

Therefore there are two solutions:

a) $y=\frac{-6+2\sqrt{6} }{5}$ , and

b) $y=\frac{-6-2\sqrt{6} }{5}$

10 0

2 years ago

Read 2 more answers