1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
15

Zeros of polynomials (with factoring

Mathematics
2 answers:
Anon25 [30]3 years ago
3 0

Answer:

x = -5/2    x=1      x = -1

Step-by-step explanation:

p(x) = 2x^3 + 5x^2 – 2x – 5

Use factor by grouping

p(x) = 2x^3 + 5x^2       – 2x – 5

Factor x^2 from the first group and -1 from the second group

    x^2(2x +5) -1( 2x+5)

Then factor out 2x+5

p(x) = (2x+5) (x^2-1)

Factor x^2 -1 as the difference of squares

p(x) = (2x+5)(x-1)(x+1)

Set to zero to find the x intercepts

0 = (2x+5)(x-1)(x+1)

Using the zero product property

2x+5 =0    x-1 =0   x+1 =0

2x = -5        x=1       x=-1

x = -5/2    x=1      x = -1

kirill115 [55]3 years ago
3 0

Answer:

The zeroes are (-1,0), (1, 0) and (-5/2, 0)

Step-by-step explanation:

We can find the zeroes by factoring:

2x^3 + 5x^2 - 2x - 5 = 0  

x^2(2x + 5) - 1(2x + 5) = 0

(x^2 - 1)(2x + 5) = 0

(x - 1)(x + 1)(2x + 5) = 0

So x = -1, 1, -5/2.

You might be interested in
Which of the following is NOT a valid definition of a derivative?
NeTakaya

Answer:

C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]

Step-by-step explanation:

The first derivative is the slope between two points as the distance between those points approaches 0.  Slope is Δy/Δx.  Choice D is a valid way to write the first derivative.  It is the slope between the points (x, f(x)) and (x+h, f(x+h)).  Choice C is not a valid definition.

8 0
3 years ago
Read 2 more answers
What is 8/10 divided by 1 5/6
sveta [45]
1st change 1 5/6 into a mixed number:
1 5/6 = 11/6

New problem:
8/10 divided by 11/6

to divide fractions you turn the 1st fraction upside down and then change the division sign to a multiplication sign:

8/10 / 11/6
10/8 * 11/6
=55/24 or 1 7/24
5 0
3 years ago
Read 2 more answers
If the money and interest are left in the bank how much is the total accumulated savings at the end of the second year for a sav
Mekhanik [1.2K]
\qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$3,500\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=\textit{times it compounds per year}\to &1\\
t=years\to &2
\end{cases}
\\ \quad \\
A=3500\left(1+\frac{0.08}{1}\right)^{1\cdot  2}\implies 3500(1.08^2)
6 0
4 years ago
Combining like terms with rational coefficients <br> 7/8m+9/10-2m-3/5
nikklg [1K]

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing \frac{7}{8}m-2m first. Afterwards, do \frac{9}{10}-\frac{3}{5}

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). \frac{9}{10} -\frac{6}{10}=\frac{3}{10}

Step 3: 1.125+3/10

7 0
3 years ago
Find the equation of the line that passes through the point (3,7) and is parallel to the line that passes through (5,5) and (5,3
Vinil7 [7]

Answer:

this is correct answer

Step-by-step explanation:

you supports to write this

7 0
3 years ago
Other questions:
  • In an orchestra, there are 42 woodwind players to 56 brass is ratio of woodwinds to brass written as a fraction in simplest form
    6·1 answer
  • Kenneth drove 180.9 miles in 3 7/20 miles. What was his average speed?
    7·1 answer
  • 3x-12=24 select equations that also have x as a souloution
    5·1 answer
  • This table shows the number of different sized pipes that have been used at Highfield Builders in January.
    13·1 answer
  • Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), find r' if
    8·1 answer
  • Write the equation y=-6/5x-4 in standard form
    13·1 answer
  • Simplify the following expression: 3n-6+7y+5n
    15·1 answer
  • I need help its math
    9·1 answer
  • On a scale drawing of a park, the length of a trail is 12 cm from the playground to the pond and 15 cm from the pond to the park
    9·1 answer
  • Find the missing lengths. If needed, give the answer in simplest radical form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!