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3 years ago

is (x-2) a factor of f(x) = x^3 − 2x^2 + 2x + 3, use either remainder theorem or factor theorem to explain your reasoning

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Answer:

Step-by-step explanation:

divide the polynomials using polynomial division

___0 + x^2 + 2_____________

x - 2 | x^3 - 2x^2 + 2x + 3

- x^3 + 2x^2

__________

0 + 2x + 3

- 2x + 4

_________

Since there is a remainder, (x-2) cannot be a factor of (x^3 - 2x^2 +2x + 3); because it does not divide evenly.

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nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father

muminat

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

$\frac{30}{100} \times RS \: \: 80000$

Which is RS 24000

He gave 20% of his income to his father

That's

$\frac{20}{100} \times RS \: \: 80000$

Which is RS 16000

Hope this helps you

8 0

3 years ago

Read 2 more answers

Procedure for this problem -8+(-24)

lana66690 [7]

Answer: - 32

Step-by-step explanation:

-8 + (-24)

Infront of the Positive is a one.

-8 +1 (-24)

If we follow order of operations which is parentheses, exponents, multiply divide, add, and subtract, we can see we need to multiply/ distribute first. And a positive times a negative is a negative.

-8 -24

Now we put the two numbers together.

-32

This is the answer

6 0

3 years ago

TWO EASY QUESTIONS 8TH GRADE MATH

Sophie [7]

9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

17x + 5 = 90

17x = 85

x = 5

3 0

3 years ago

Please hurry i don't have much time left!

quester [9]

Answer:

Check below

Step-by-step explanation:

That's too bad you haven't attached a rectangle.

Here's an example, with the data you've typed in.

1) When we dilate a rectangle we either grows it or shrink it through a scale factor.

Check the first picture below.

The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the Center of Dilation is at its origin(Middle):