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2 years ago

6

Factorize x^4 + 2x^3 - 11x^2 - 12x + 36 I need the steps.Please i need this for today.

1 answer:

Yuliya22 [10]2 years ago

6 0

$x^4 +2x^3 -11x^2-12x+36\\ \\=x^4-2x^3+4x^3-8x^2-3x^2 +6x-18x+36\\\\=x^3(x-2) +4x^2(x-2) -3x(x-2) -18(x-2)\\\\=(x-2)(x^3 +4x^2 -3x -18)\\\\=(x-2)(x^3+3x^2+x^2+3x-6x-18)\\\\=(x-2)\textbf{[}x^2(x+3)+x(x+3)-6(x+3)\textbf{]}\\\\=(x-2)(x+3)(x^2 +x -6)\\\\=(x-2)(x+3)(x^2 +3x -2x-6)\\\\=(x-2)(x+3)\textbf{[}x(x+3) -2(x+3)\textbf{]}\\\\=(x-2)(x-2)(x+3)(x+3)\\\\=(x-2)^2(x+3)^2$

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Sarah took the advertising department from her company on a road trip to meet with a potential client including Sarah a total of

Svetach [21]

Sarah has spent 7 first class tickets, and 6 coach tickets that totals for 13 people that took the trip.

$1040 * 7 = $7280

$140 * 6 = $840

$7280 + $840 = $8120 for Sarah's total budget she spent for 7 first class tickets and 6 coach tickets for 13 people that took the trip.

Answer:
7 first class tickets.
6 coach tickets.

Hope this helps!
<em>
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3 years ago

In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write

zaharov [31]

Answer:

(a) $1 > -2$ or $-2 < 1$

(b) $2 > 1$ or $1 < 2$

Step-by-step explanation:

Given

$N = -2F$ --- North Dakota

$C = 1F$ --- Cheyenne, Wyoming

Solving (a): Inequality to compare both temperatures

From the given temperatures, we can conclude that:

$C > N$ or $N < C$

Because

$1 > -2$ i.e. 1 is greater than -2

or

$-2 < 1$ i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

$N = -2F$

$C = 1F$

The absolute values are:

$|N| = |-2|$

$|N| =2$

$|C| = |1|$

$|C| = 1$

By comparison:

$|N| > |C|$ or $|C| < |N|$

Because

$2 > 1$ i.e. 2 is greater than 1

or

$1 < 2$ i.e. 1 is less than 2

4 0

2 years ago

Choose all the numbers that are factors of 16

madreJ [45]

2, 4, 8, and 1 i belive

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3 years ago

Shane decided to dig his garden.On the first fine day,he dug 1/3 of it.On the second day he dug only 1/4 of it before it started

jeka94

Answer:

I think 1/4

Step-by-step explanation:

So, you first should find a common denominator so you can add the fractions together.

So, 1/4 + 1/3 + 1/6 becomes 3/12+4/12+2/12.

Add that up, you get 9/12.

Simplify.

9/12 = 3/4

3/4 is how much is dug out. 4/4 - 3/4 is 1/4. That's how much for digging is left, I believe.

6 0

3 years ago

salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's

choli [55]

Answer:

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8 0

3 years ago