All categories

2 years ago

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Mathematics

2 answers:

Firlakuza [10]2 years ago

6 0

Hey there!

For the first step you'll have to find your common multiples of each of the factors that you may have
Then, look for your variables in the terms/ between each of the factors
Once when you do that, factor it (like the pairs that factor out)

Now, let's solve your particular equation now

$\bold{Factor}$ → $\bold{4x^3+x^2-8x-2}$
$\bold{Pair}$ $\bold{off:}$ $\bold{-8x}$ and also, $\bold{4x^3}$ → $\bold{(4x+1)(x^2-2)}$
Then, find your common factors, which is: $\bold{4x}$
There's more steps to solve this, but it will take a while to solve it
So, $\boxed{\boxed{\bold{Answer: (4x+1)(x^2-2)}}}$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

Dmitrij [34]2 years ago

6 0

Answer:

x^2 (4x + 1) - 2x ( 4x + 1)

Step-by-step explanation:

Check Via multiplication

x^2(4x) = 4x^3.

x^2(1) = x^2.

That gives us the 4x^3 + x^2.

-2(4x) = -8x.

-2(1) = -2.

that gives us the 8x - 2

Therefore, x^2 (4x + 1) - 2x ( 4x + 1) = 4x^3 + x^2 - 8x - 2

Hope this helps. Have a great day!

~a.w.e.s.w.a.n♥

You might be interested in

In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the nearest degree

Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Using Law of Cosines in triangle OPQ, we get

$\cos P=\dfrac{o^2+q^2-p^2}{2oq}$

$\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}$

$\cos P=\dfrac{490000+384400-705600}{868000}$

$\cos P=\dfrac{168800}{868000}$

On further simplification, we get

$\cos P=0.19447$

$P=\cos^{-1}(0.19447)$

$P=78.786236$

$P\approx 79$

Therefore, the measure of angle P is 79 degrees.

8 0

3 years ago

Read 2 more answers

Please Help! B belongs to AC D belongs to lineAF

Anvisha [2.4K]

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

5 0

2 years ago

Eliza is building a fence that is 1/4 mile. She plans to build it in 3 days. How long should the section of fence be that Eliza

Taya2010 [7]

Answer:

One Twelfth (1/12) of a Mile per Day

Step-by-step explanation:

If Eliza has 3 days to build this fence, you can divide the total length of the fence (1/4 mile) into 3 sperate sections for each day. Dividing 1/4 by 3 gets you. 1/12 of a mile will be built each day.

4 0

2 years ago

A square based prism and a cylinder both have

Anna11 [10]

Answer:

Parameter of base = 70.88 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 3768 cubic inch

Height of Prism = 12 inch

Find;

Parameter of base

Computation:

Volume of cylinder = Volume of Prism

3768 = (L)(B)(H)

3768 = (L)(B)(12)

(L)(B) = 314

L = B

So.

L = 17.72 inch

B = 17.72 inch

Parameter of base = 2[l+b]

Parameter of base = 2[17.72 + 17.72]

Parameter of base = 70.88 inch (Approx.)

8 0

2 years ago

Graph - 9x + 6y = 18 using linear standard form

postnew [5]

Answer:

The graph is attached Below and the plotting is given below.

Step-by-step explanation:

Given:

-9x + 6y = 18

Solution:

To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.

For point A

Put x = -4 in the given equation we get

-9×-4 + 6y = 18

6y = 18-36

∴ $y=\frac{-18}{3}\\ \\y=-3$

∴ Point A ≡ ( -4, -3 ).

For point B

Put x = -2 in the given equation we get

-9×-2 + 6y = 18

6y = 18 - 18

6y = 0

∴ $y=\frac{0}{3}\\ \\y=0$

∴ Point B ≡ ( -2, 0 ).

For point C

Put x = 0 in the given equation we get

-9×0 + 6y = 18

6y = 18

∴ $y=\frac{18}{3}\\ \\y=3$

∴ Point C ≡ ( 0, 3 ).

Now we have Point A ,B and C join it and you will have Line.

3 0

3 years ago