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
hodyreva [135]
3 years ago
13

Use the grouping method to factor the polynomial below completely. x3 - 3x2 + 5x - 15

Mathematics
2 answers:
FromTheMoon [43]3 years ago
8 0
X^3 - 3x^2 + 5x - 15
x^2(x-3) +5(x-3)
(x^2 + 5)(x - 3) <==Answer
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

(x^2+5)*(x-3)

Step-by-step explanation:

In grouping method factoring, you must have to split the middle term in a way that the product of two terms in middle must be equal to the product of two terms at the edges of equation. Remember you have to consider the resultant signs as well as the magnitude of both products.

Now in the case given above,

x^3-3x^2+5x-15

the result is -15x^3

Note that the magnitude is 15x^3 and sign is '-' for both products.

Now taking out the common terms, equation becomes;

x^2(x-3)+5(x-3)

Taking out (x-3) as common, now the factorized version we have is:

(x-3)(x^2+5)

You might be interested in
A particle moves along a line so that its position at any time t &gt; 0 is given by the function s(t) = - t3 + 7t2 - 14t +8 wher
eimsori [14]

Answer:

s(5) = -12

Step-by-step explanation:

s(t) = - t³ + 7t² - 14t +8

Find the displacement during the first 5 seconds.

When t = 5

s(t) = - t³ + 7t² - 14t +8

s(5) = -5³ + 7(5)² - 14(5) + 8

= -125 + 7(25) - 70 + 8

= -125 + 175 - 70 + 8

= -12

s(5) = -12

4 0
3 years ago
Complete the sentences.
Contact [7]

Answer:

700,000

Step-by-step explanation:

To explain this, we need to know the basics.

If you look at the number 790,390, you should automatically know that you can also write the same number as:

700,000 + 90,000 + 300 + 90

How did we do this?

Because each number in 790,390 has a <u>value.</u>

In fact, we can do this for any number! Like this:

12,345

You can also write the same number like this:

10,000 + 2,000 + 300 + 40 + 5

Back to the original question. If there is a seven in the hundred thousands place, that means that the 9 is equal to 700,000

Examples:

12,345

The 3 in this number stands for 300, since it is in the hundreds place.

678,900

The 7 in this number stands for 70,000 because it is in the ten thousands place

Now you know!

6 0
3 years ago
What is -3x+12y=24 in standard form
nalin [4]
So standard form is Ax+By=C
Since the problem is already in that form you don’t need to switch it around however A has to be more than 0 (so positive). Divide the equation by -3 to get the answer x-4y=-8

8 0
3 years ago
60% of what number is 21 find the whole
Contact [7]
60 times 21 divided by 100 is 12.6
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME ON THIS I NEED IT NOW
julia-pushkina [17]

Answer:

Solution : (36, 42)

Step-by-step explanation:

It mention that the image is dilated by a scale factor of 6, and hence we will have to multiply each coordinate by 6 to receive the dilated point. Here we only want the dilation of point B,

B' = (6 * 6, 7 * 6) = (36, 42)

If quadrilateral ABCD is dilated by a scale factor of 6, then the coordinates of point B' are (36, 42).

3 0
3 years ago
Other questions:
  • Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
    14·1 answer
  • Use the zero product property to find the solutions to the equation
    14·2 answers
  • The answer is not 25,000,000.<br> I'm so Confused<br> ASAP
    15·1 answer
  • Last Friday joe had $7. Over the weekend he received some money for a good report card.he now has $20. How much money did he rec
    6·2 answers
  • Sharon, Mark, Beverly and Bruce each work as a doctor, lawyer, teacher or farmer. From the clues below, decide who is the doctor
    10·1 answer
  • 50 POINTS!!!!
    14·2 answers
  • If a+b=6, then what is the value of 2a + 2bl
    10·1 answer
  • A person places $37700 in an investment account earning an annual rate of 5%,
    14·1 answer
  • Find the slope of the line through each pair of points.<br> (2,-2),(4,2)
    13·1 answer
  • Help please I don’t understand
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!