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Artist 52 [7]
3 years ago
12

What is the constant term of the quotient when 2x^3-3x^2 + 4x-2 is divided by x^2-x+2?

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

  -1

Step-by-step explanation:

See the attachment for the polynomial long division. The constant in the quotient is -1.

_____

Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.

That could be a first guess in a "guess and check" solution approach.

<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).

<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2

Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.

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Partial quotient for 654 divided by 3
Vladimir79 [104]

654 over 3 = divide the both 654 and 3 by 3.

It will give you 218 over 1.

So the answer is 218.

6 0
3 years ago
2x+2y=8<br> X+y=4<br> Which statement is true about the solution
laila [671]
Both x and y equal 2.

2•2=4 + 2•2=4

4+4=8

2+2=4
6 0
3 years ago
Math question please help<br> If you get this right I will mark you as a brainliest
Phoenix [80]

That's an easy parallelogram, parallel to the x axis. Let's label the points

A(-4,-1),B(-2,4),C(4,4),D(2,-1)

AD and BC are the sides parallel to the x axis. We'll call those the base, it has length 4 - -2 = 6.

The height is the change in y between the bases, so 4 - -1 = 5.

The area is base times height, 6 × 5 = 30

Answer: 30

The shoelace formula gives us the area of a polygon from 2D coordinates without worrying about the shape:

(-4,-1),(-2,4),(4,4),(2,-1)

(-2,4),(4,4),(2,-1),(-4,-1)

A = \frac 1 2 | -4(4) - (-1)(-2) + (-2)(4) - 4(4) + 4(-1) - 4(2) + 2(-1) - (-1)(-4) |

A = \frac 1 2 |-60| = 30 \quad \checkmark


4 0
3 years ago
125 is what % of 400?
mixer [17]
Answer: 3.2

Just divide 400 by 125 because the opposite of multiplication is division.

When you divide you get 3.2
8 0
3 years ago
Read 2 more answers
For which acute angle are the sine of the angle and cosine of the angle equal?
viva [34]
Sin = opposite/hypotenuse
cos = adjacent/hypotenuse

They are the same when opposite equals adjecent.
This only occurs when the angles are equal.

Answer: 45°
3 0
3 years ago
Read 2 more answers
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