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2 years ago

What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?

Mathematics

1 answer:

agasfer [191]2 years ago

7 0

Answer:

x³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x³ + 9x² + 16x - 6.

Hope this helps!

You might be interested in

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

STatiana [176]

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3

7 0

3 years ago

Deijah gave Isaiah $6.25 in nickels and quarters. If 12 coins were quarters, how many coins were nickels? Which equation models

dem82 [27]

Deijah has $6.25.

Now, this 6.25 is comprised of 0.05s and 0.25s.
We know that there are 12 0.25s.

We now want to know how many remaining 0.05s there are.

Again, we know that the number of 0.05s he has, which is 12, multiplied by 0.05, plus the number of 0.25s he has, multiplied by 0.25, equals 6.25.

Thus, the answer is A, 0.25 x 12 + 0.05 x n = 6.25.

4 0

3 years ago

Who is correct between the two of them?

deff fn [24]

Answer:

Neither.

Step-by-step explanation:

I am not completely sure, so make sure to also let other answer this before you trust me lol. I really hope this helps!!

3 0

3 years ago

A metronome is a device that ticks at adjustable intervals to help keep time when playing music. The metronome on Ryan’s piano h

krek1111 [17]