If f(x) = 5x^3– 4x – 3, then what is the remainder when f (x) is divided by x + 2?

Mathematics

1 answer:

Pepsi [2]2 years ago

3 0

Answer:

$-35$

Step-by-step explanation:

Finding the remainder using the Remainder Theorem

$f(-2) = 5(-2)^3 -4(-2) -3 \\ f(-2) = 5(-8) -4(-2) -3 \\ f(-2) = -40 +8 -3 \\ f(-2) = -35$

Please refer to my answer from this question to know more about the Remainder Theorem.

brainly.com/question/24591554

You may be wondering why did I make $a = -2$ and not $a = 2$ . Notice that the Theorem states when we divide $P(x)$ by $x -a$ the remainder is $P(a)$ . In this case we are dividing by $x \red{+} 2$ in which we can rewrite it as $x -(\blue{-2})$ .

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Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after

Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is $\frac{4}{27}$

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:

$\frac{8}{9}$ ÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to $\frac{6}{1}$ , by inverting the number, then you get $\frac{1}{6}$