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madam [21]
3 years ago
13

Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

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Which of the following is a factor of (x+y)³-(x+y)³
IgorC [24]

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<h3>Answer :</h3>

The factor of (x + y)³- (x³ + y³) is <u>3xy</u>

<h3>Step By Step Solution :</h3>

→ (x + y)³- (x³ + y³)

→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]

→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]

→ (x + y) (3xy)

→ 3xy

∴ Option d. 3xy is correct!

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6 0
3 years ago
Read 2 more answers
What is the standard deviation of the following test scores? Round your answer to the nearest hundredth. 82, 76, 93, 82, 73, 80
Juli2301 [7.4K]
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now we subtract the average from every data point.....then square the result
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now we find the mean (or average) of those numbers
(1 + 25 + 144 + 1 + 64 + 1) / 6 = 236/6 = 39.33

that is ur variance....to find the standard deviation, take the square root of ur variance.....

square root 39.33 = 6.27 <==
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