Give the function f(x)= 0.5lx - 4| -3, for what values of x is f(x) = 7

Mathematics

1 answer:

Irina18 [472]3 years ago

4 0

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

Vaselesa [24]

ANSWER

$f( - 6) = 10$

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
$f(x)$

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
$10$

According to the remainder theorem,
$10$
is the remainder when

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

3 0

3 years ago

Find the equation of the line that is parallel to the

zepelin [54]

9514 1404 393

Answer:

y = -x -12

Step-by-step explanation:

The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . . . line of slope m through point (h, k)

y -(-7) = -1(x -(-5))

y = -x -5 -7 . . . . subtract 7, eliminate parentheses