All categories

2 years ago

Simplify the expression to a polynomial in standard form: (x+5)(2x² + 2x - 3)

Mathematics

2 answers:

Taya2010 [7]2 years ago

7 0

Answer:

$\sf \: 2x {}^{3} + 12x {}^{3} + 7x - 15$

Step-by-step explanation:

----

Evgesh-ka [11]2 years ago

6 0

Answer:

$2x^3 +12x^2 +7x -15$

Step-by-step explanation:

$\underline{\textbf{Standard form of a polymonial:}}\\\\\text{A polynomial whose terms are ordered from highest to lowest degree}.\\\\\text{For example,}\\\\x^2 +x +4\\\\x^3 +x^2 +x +3 \\\\\text{etc.}\\\\\underline{\textbf{Solution:}}\\\\\text{Given that,}\\\\~~~(x+5)(2x^2 +2x-3)\\\\=x(2x^2 +2x-3) +5(2x^2 +2x -3)~~~~~~~~~~~~~;\textbf{Distribute}\\\\=2x^3+2x^2 -3x+10x^2+10x -15~~~~~~~~~~~~~;\textbf{Multiply}\\\\=2x^3 +2x^2 +10x^2 +10x -3x-15~~~~~~~~~~~~~;\textbf{Rearrange}\\\\$

$=2x^3 +12x^2 +7x -15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Simplify}$

$\textbf{Hence the given product in standard form is}~2x^3 +12x^2 +7x -15.$

You might be interested in

Which statements are true

Mama L [17]

The true statements are;

-Both graphs are logarithmic functions

-Both graphs have been shifted and flipped (B and D).

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

A graph is a plot of information on the cartesian coordinates. The function is plotted on an x - y cartesian plane. Given the nature of function, we can understand the shape of the graph as shown.

In this case, the graph shows a flipped logarithmic function. As such, the following are true about the function;

-Both graphs are logarithmic functions

-Both graphs have been shifted and flipped

Learn more about graphs:brainly.com/question/16608196

#SPJ1

4 0

2 years ago

Trevor Linden, a former player for the Vancouver Canucks, is 1.93 m tall. On a hockey card, he is 5.4 cm tall. What scale was us

Anastaziya [24]

Answer:

scale used to print the hockey card is 27/965

scale used to print the hockey card in decimal is 1/35.74

Step-by-step explanation:

we know that in scale problems

scale is used in drawing to enlarge or reduce size of object by a certain amount

scale = size of object in drawing/ actual size of object

Height of trevor = 1.93 m

we know that 1 m = 100 cm

Height of trevor in cm = 1.93 m*100 = 193 cm (actual size)

(this is done so that unit of measurement is same for card and trevor's height i.e cm)

Trevor's card on hockey card = 5.4 cm(size in drawing)

scale used = Trevor's card on hockey card /Height of trevor in cm

= 5.4/193 = 54/ 1930 = 27/965

scale used to print the hockey card is 27/965

scale used to print the hockey card in decimal is 1/35.74

7 0

4 years ago

Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot

Lady_Fox [76]

In order to solve this problem, you need to use a geometric series:
$S_{n} = \frac{ a_{1}(1 - r^{n}) }{1 - r}$
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
<span> $S_{n} = \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}$
= 219783.60 $

Luke's total earnings in five years are <span>219783.60 $.</span>

</span>

6 0

3 years ago

What improper fraction or mixed number is 30/20 in simplest form

True [87]

30/20= 1 and 10/20 in simplest form that is 1 and 1/2

3 0

3 years ago

Read 2 more answers

Describe the graph of the inequality on a number line: x ≥ 11

Phantasy [73]

Answer:

Here is how it should look