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
alekssr [168]
3 years ago
7

10 points! How do I factor 8x^2-26x+15

Mathematics
2 answers:
krok68 [10]3 years ago
7 0

Answer:

Yes, your answer is correct.

Step-by-step explanation:

A quadratic is usually represented as Ax^2+Bx+C.

Given quadratic is 8x^2-26x+15, so A=8, B=-26, C=15.

To factor a quadratic, one of the most used is what you term as the AC method.

This works as follows:

Step 1:

calculate the product AC=A*C=8*15=120

Step 2:

Find <em>two</em> factors of AC m and n such that

m*n = AC = 120

m+n = B = -26

Since the sum is negative, AND product is positive, we have <em>both</em> m and n negative!

You can list ALL the factors of 120 and try them in pairs:

{1,2,3,4,6,8,10,12,15,20,30,40,60,120}

Try the middle pair, -10*-12 = 120, but -10+(-12) = -22.

If the (absolute value of) the sum is too small, then go outwards.

{1,2,3,4,6,8,10,12,15,20,30,40,60,120}

Next pair to try is -8*-15=120.  and -8+(-15) = -23, which is still too small.

Now try next pair:

{1,2,3,4,6,8,10,12,15,20,30,40,60,120}

Here, we have -6*-20 = 120, and

-6+(-20) = -26 =B, so we have found the necessary factors.

Step 3:  Determine the coefficients of x in the individual factors by grouping

Write out the original expression as a sum of two binomials.

The first binomial is the x^2 term plus one of the factors (-6x) we found,we write

8x^2-6x

The second binomial is the other factor we found (-20x), added to the constant term 15, we write

-20x+15

Factor each binomial, and put together on one line

2x(4x-3) -5(4x-3)

We note that there is (4x-3) as a common factor, so factor that out again to get

(2x-5)(4x-3)

which is the final answer for the factoring problem.





Rufina [12.5K]3 years ago
6 0
<h3><u>(2x - 5)(4x - 3)</u></h3>

The AC method, also known as splitting the middle, can be shown like this:

8x^2 - 26x + 15

<em><u>Check factors of 120.</u></em>

1 * 120

-1 * -120

2 * 60

-2 * -60

3 * 40

-3 * -40

5 * 24

-5 * -24

6 * 20

-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)

<em><u>Split the middle term.</u></em>

8x^2 - 6x - 20x + 15

<em><u>Group in terms of 2.</u></em>

(8x^2 - 6x) - (20x + 15)

<em><u>Factor each binomial.</u></em>

2x(4x - 3) - 5(4x - 3)

<em><u>Rearrange the terms.</u></em>

(2x - 5)(4x - 3)

You might be interested in
Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. W
choli [55]

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21

Total amount that food costs without tax is

\Rightarrow 13+2.21\\\Rightarrow \$15.21

7 0
2 years ago
1 5/8 write as a decimal
oksian1 [2.3K]
It goes as 1.875. Hope this helped you :)))
6 0
3 years ago
Read 2 more answers
Help for most brain! lol
Juliette [100K]

Answer:

Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.

Step-by-step explanation:

7 0
2 years ago
Identify the intercepts of the circle (x-5)^2+(y+12)^2=169
Allisa [31]

Step-by-step explanation:

The x-intercept is the point where the graph touches the x-axis, which means y=0. So let's set y=0 in your equation, and we receive

(x-5)^2 + (0+12)^ = 169

which means

(x-5)^2 = 25

Solve this, and get x=10 or x=0.

This means the x-intercepts are (10,0) and (0,0).

Try doing the same for y.

3 0
2 years ago
Read 2 more answers
Please help on this equation I don't get it.
olasank [31]

Answer:

0.6 liters

Step-by-step explanation:

3 liters divided amongst 5 people comes to 0.6 liters per person. there are approximately 33.8 ounces in a liter so in ounces, everyone would get approximately 56.35 ounces of soda.

for a picture you could draw a cup with soda in it and label it to show the amount

7 0
2 years ago
Other questions:
  • Math question please help
    13·1 answer
  • GH=KL<br> GH=6x+4<br> KL=10x-8<br> Solve for GH
    11·1 answer
  • Omar has 2and 3/4 cups of dough to make dumplings.if he uses 3/16 cup of dough for each dumpling,how many dumplings can omar mak
    13·2 answers
  • What is the standard form of the equation of the circle in the graph
    7·2 answers
  • What is the answer to c-(-12)=16
    5·1 answer
  • I can List all the factors of each number. The I can circle the factors that are common to all three numbers. Factors of: 30, 24
    15·1 answer
  • $450 at 5.2% interest for <br> 3 years<br> inerest number:<br><br> new balance:
    12·1 answer
  • Brett spent $25 for a tennis racket and pays $5 each time she plays a game.
    10·2 answers
  • 1. Differentiate quadrilateral from parallelogram?
    14·2 answers
  • In ΔNOP, p = 2.5 cm, n = 2.3 cm and ∠O=71°. Find the area of ΔNOP, to the nearest 10th of a square centimeter.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!