All categories

3 years ago

One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Answer:

x+2

Step-by-step explanation:

Dividing the poly by the known factor:

x3+5x2+6x <u>| x2+3x</u>

-x3-3x2 x + 2 <- the answer is here

2x2+6x

-2x2-6x

To prove that, let's multiply the two factors and find the pylonomial back on:

(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x

Tks your attention!

You might be interested in

The distributive property of 48x3<br> ( )+( )

Andru [333]

The answer is 144:) :)

7 0

3 years ago

Read 2 more answers

Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and

Goshia [24]

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

6 0

3 years ago

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

2x +12 - 8x - 7= -10x + 2 + 4x +3.

worty [1.4K]

Answer:

r37grqigohw

Step-by-step explanation:

5 0

3 years ago

1. Leland started a savings account with

Alborosie

Answer:18 weeks

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers