(X^2-4) divided by (x+4)

Mathematics

1 answer:

Ivan3 years ago

7 0

Keep in mind that x^2 - 4 is a "special product," whose factors are

x - 2 and x + 2. In this particular case this fact doesn't help much.

So, use either long division or synthetic division here:

Rewrite x^2 - 4 as x^2 - 0x - 4, whose coefficients are 1, 0 and -4.

Use -4 as the divisor in synth. div.; it comes from the divisor (x + 4).

Then the synth. div. looks like this:

-4 / 1 0 -4

-4 16

--------------------

1 -4 12

This result tells us that the quotient is 1x - 4 with a remainder of 12.

An interesting fact is that if you evaluate x^2 - 4 or x^2 - 0x - 4 at x = -4, the result will be 12 (same as the remainder shown above).

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Alika [10]

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So let's multiply each term by 100 to clear the decimals:

(100)0.25x + (100)0.35 = (100)(-0.29)

25x + 35 = -29

Now we can solve the equation as normal:

25x + 35 - 35 = -29 - 35

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x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.

Let's look at one more:

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We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.

(100)(1.75x) + (100)(4) = (100)(6.2)

175x + 400 = 620

We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:

175x + 400 - 400 = 620 - 400

175x = 220

x = 1.26

Step-by-step explanation:

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3 years ago

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lys-0071 [83]

Answer:

See explaination

Step-by-step explanation:

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See attachment for the step by step solution