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nlexa [21]
2 years ago
10

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

Mathematics
1 answer:
agasfer [191]2 years ago
7 0

Answer:

​x​³ + 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,

x​³ + 9x² + 16x - 6.

Hope this helps!

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4 0
3 years ago
Solve for x: 3(x + 1) = −2(x − 1) − 4<br><br> 1<br><br> −1<br><br> −5<br><br> −25
LekaFEV [45]

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x = - 1

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2 years ago
What is the measure of ENV?
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6 0
3 years ago
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4 0
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9 to the power 18 = 27 to the power x work out the value of x
Strike441 [17]

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

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3x = 2 - x

So, 4x = 2

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Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

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⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

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⇒ x = 2 / 4

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I hope this helps you.

8 0
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