All categories

2 years ago

HELP PLZ The Multiplication of Polynomials

Mathematics

1 answer:

vampirchik [111]2 years ago

3 0

Answer:

x⁴ + 3x³ - 5x + 1

Step-by-step explanation:

(x - 1)(x³ + 4x² + 4x - 1)

Same as writing....

x(x³ + 4x² + 4x - 1) - 1(x³ + 4x² + 4x - 1)

x⁴ + 4x³ + 4x² - x - x³ - 4x²- 4x + 1

x⁴ + 3x³ - 5x + 1

You might be interested in

Solving multi-step equations 2(x + 7) – 34 = 4x – 11x + 4(x - 1)

Zarrin [17]

Answer:

x = 16/5

Step-by-step explanation:

2x + 14 -34 = 4x - 11x + 4x - 4

2x - 20 = -3x - 4

5x = 16

6 0

2 years ago

Read 2 more answers

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sport

bija089 [108]

The height of the model in inches would be 6. if you multiply 30 until it reaches 180 you will have 6.

7 0

2 years ago

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

2 years ago

The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

lawyer [7]

Answer:

C. 6

Step-by-step explanation:

Given

S = n² + n
S = 42, n = ?

Substitute and solve for n:

42 = n² + n
n² + 2*1/2n + 1/4 = 42.25
(n + 0.5)² = 42.25
n + 0.5 = √42.25
n + 0.5 = 6.5
n = 6

Correct option is C

5 0

2 years ago

Read 2 more answers

Classify the following triangle. Check all that apply.

Alekssandra [29.7K]

The triangle is obtuse

8 0

2 years ago