3 years ago

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (80pts)

Mathematics

2 answers:

wariber [46]3 years ago

6 0

Answer:

PQ = 20

QR = 15

Step-by-step explanation:

PQ^2 = 16^2 + 12^2

PQ^2 = 400

PQ = √400 = 20

QR^2 = 12^2+9^2

QR^2 = 225

QR = √225 = 15

Firlakuza [10]3 years ago

6 0

HeY TheRe!

PQ = 20 cm

QR = 15 cm

$\\$

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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

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$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
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is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

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$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

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