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4 years ago

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?

2 answers:

7 0

To factor by grouping, you group up the 1st 2 terms together and the last 2 terms together and then factor those pieces.

(x^3 + x^2) + (x + 1)
x^2(x + 1) + 1(x +1) - now factor out the (x + 1)
(x + 1)(x^2 + 1) - final answer

Lisa [10]4 years ago

3 0

Answer: answer is C.

Step-by-step explanation:

You might be interested in

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

<u>Answer:</u>

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

7 0

3 years ago

Lim x>-1 x^2-x-2/x+1

antiseptic1488 [7]

Answer:

-3

Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.

7 0

3 years ago

What is the exterior angle of #9 ?

Alexxandr [17]

Answer:

Step-by-step explanation:

3x-12=2x

+12

3x=2x +12

-2x

x=12

4(12)+ 9

48+9

=55

6 0

3 years ago

Jim walks 2 miles in an hour. It takes him 3 hrs to walk 6 miles.

pentagon [3]

Answer:

He would walk 10 miles in 5 hours, and it would take him 2 hours to walk 4 miles.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

No cap got a brain fart need help just gotta find x

VladimirAG [237]

Answer:

ok did you really just say brain fart I'm dying I cant stop laughing

4 0

3 years ago