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Alex Ar [27]
3 years ago
15

2) Find the remainder when x3 + x2 - 20 is divided by

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0

Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24

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Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

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Substituting x = 1200 - y into equation 1, it becomes

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- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

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