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2 years ago

Find the remainder when f(x) = x3 + 14x2 − 7x − 10 is divided by x − 3

Mathematics

2 answers:

loris [4]2 years ago

5 0

Answer:

-122

Step-by-step explanation:

f(3) = 3³ + 14(3)² - 7(3) - 10

= 27 + 126 - 21 - 10

= - 122 is the remainder

hoa [83]2 years ago

3 0

Answer:

remainder = 122

Step-by-step explanation:

Using the remainder theorem to evaluate the remainder

Division by x - 3 , thus evaluate f(3) for remainder

f(3) = 3³ + 14(3)² - 7(3) - 10

= 27 + 126 - 21 - 10

= 122 ← remainder

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3 years ago

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3 years ago

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<h3>☂︎ Answer :- </h3>

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<h3>☂︎ Solution :- </h3>

LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

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☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

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2 years ago