All categories

2 years ago

By using the remainder theorem, determine the remainder when

Mathematics

2 answers:

lora16 [44]2 years ago

4 0

Answer:

C) -123

Step-by-step explanation:

x + 4 = 0

x = -4

3(-4)³ − (-4)2 − 20(-4) + 5

-123

Greeley [361]2 years ago

3 0

Answer:

-123

Step-by-step explanation:

The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.

When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.

You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.

3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123

You might be interested in

Point WW is located at (6,4)(6,4) on the coordinate plane. Point WW is reflected over the yy-axis to create point W'W ′ . Point

yKpoI14uk [10]

Using translation concepts, the ordered pair that describes the location of W'' is: W''(-6,-4).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a reflection over the y-axis is:

(x,y) -> (-x,y).

Hence:

W'(-6,4).

The rule for a reflection over the x-axis is:

(x,y) -> (x, -y).

Hence:

W''(-6,-4).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

5 0

1 year ago

What value of c makes x2 6x c a perfect square trinomial? c = If x2 6x c = (x d)2, then d =.

Mariana [72]

$\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}$

3 0

1 year ago

How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 30% solution?

Alex17521 [72]

You would need to add 360L of the 20% ethanol solution.

7 0

3 years ago

Combining like terms-5x+5

Liula [17]

Answer:

This term would not change at all when combining like terms.

Step-by-step explanation:

Because the first term has a variable and the second does not, they can not be combined. Therefore, there is not change to this assignment

8 0

3 years ago

Anyone can y’all help me. What’s the mistake in this? And what’s N actually equal to?

PSYCHO15rus [73]

Answer:

n = -1

Step-by-step explanation:

you've accidently substracted 6n from 12n when you were supposed to be adding them. (-6n becomes +6n when brought to the otherside of the equal sign)

4 0

2 years ago