Simplify the following expressions. (14 +8^2) / 2-10

Mathematics

1 answer:

True [87]3 years ago

3 0

Answer:

Step-by-step explanation:

To simply, follow the rules of PEMDAS (Parathensis,Exponents,Multiplication,Division,Addition and Subtraction). So, first do the problems in the parathesis, and to do that you must first do the exponent which is 8 squared, and the answer would be 64, next add 14 + 64 and that would be 78. Now that we are done with the paranthesis we should move on to the division which is 78 divided by 2 so that would be 39 next subtract 39 by 10 which would equal to 29, which is the answer

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Determine the quotient, q(x), and remainder, r(x) when

Vinvika [58]

ANSWER

Quotient:

$q(x) = 4 {x}^{2} + 3x + 2$

Remainder:

$r(x) = 3x + 1$

EXPLANATION

The given functions are

$f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9$

and

$g(x) = 3 {x}^{2} + 3x + 4$

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

$q(x) = 4 {x}^{2} + 3x + 2$

The remainder is

$r(x) = 3x + 1$