3 years ago

Factor completely. 4x^3 + 12x^2 + 3x + 9

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

Answer:

(4x^2 + 3)(x + 3)

Step-by-step explanation:

Split the equation in the middle so you can factor it out:

4x^3 + 12x^2 | + 3x + 9

Then factor out:

4x^2(x + 3) | 3(x + 3)

Congrats, you completed your equation:

(4x^2 + 3)(x + 3)

You might be interested in

What is 47% of 164 while using a fraction to estimate the percent of each number.

artcher [175]

47/100 × 164/1
7708/100

5 0

3 years ago

Read 2 more answers

A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 gr

miv72 [106K]

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88 Eqn 1

5x+2y=25 Eqn 2

Multiplying Eqn 2 by 4

$4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\$

Subtracting Eqn 1 from Eqn 3

$(20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12$

Dividing both sides by 8

$\frac{8x}{8}=\frac{12}{8}\\x=1.5$

Putting x=1.5 in Eqn 1

$12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70$

Dividing both sides by 8

$\frac{8y}{8}=\frac{70}{8}\\y=8.75$

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

The Sundown Parking Garage charges $5.00 to park a car . What is the total charge for parking a car for 4 hours in this garage?

Paha777 [63]

Answer:

20 dollars

Step-by-step explanation:

5.00 x 4 = 20

7 0

3 years ago

Read 2 more answers

A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a trian

grigory [225]

Answer:

Step-by-step explanation:

merry chrismas

5 0

3 years ago

Find the mount of simple interest on a 1800$ loan at 6% for 3 years

Arada [10]

Answer:

Simple interest=$324 Total=2124

Step-by-step explanation:

Simple interest=6%

6% of 1800=108

108x3=324

1800+324=2124

3 0

4 years ago