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
levacccp [35]
3 years ago
13

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of y^2-10y+24=0 is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

<u>              4           </u>

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

<u>                4    -24</u>

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us y^2-10y+24=0 are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

You might be interested in
Sole the given inequality and graph it on the number line. -2x - 5 &lt; 3​
Anon25 [30]

Answer:

your answer would be X>-4

6 0
3 years ago
PLZ HELP !!! THIS TEST IS VERY IMPORTANT!!!!
andrew11 [14]

Answer:

E=20H

Step-by-step explanation:

E =20 when H=1

there fore the amount he receives per working time will be 20*H

8 0
3 years ago
Read 2 more answers
What is the answer to<br> -1 times 2
yanalaym [24]

Answer:

Negative 2.

Step-by-step explanation:

2x -1 would have an outcome of a negative number since 2 is positive and one is negative. if they were both positive numbers or negative numbers then the answer would be positive

4 0
3 years ago
Read 2 more answers
4
Naddik [55]

Answer:

24/7

Step-by-step explanation:

tan 2t =+ 2 tan t) /( 1 - tan²t)

(2(-4/3))/(1- 16/9)

(-8/3)/(-7/9) = 24/7

3 0
2 years ago
How many 3/4 of a Cup-Sized servings can he make
Svet_ta [14]

Answer: 3/4 of a cup is 0.75

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A survey asked two age groups which summer sport they most preferred. The results are shown in the table below.
    11·2 answers
  • What is the equation for standard error of the mean?
    10·1 answer
  • Haley cuts pieces of ribbons to make bookmarks. each bookmark was 1/8 foot long. draw a point on the number line below and label
    14·1 answer
  • 24a²-30 at 9<br> Solve please
    11·1 answer
  • The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologi
    5·1 answer
  • If n=4 the value of the expression 28-12+ square root of n divided by 2 is____.
    10·1 answer
  • A furniture store donated a percent of every sale to hospitals. The total sales were ​$8,800 so the store donated ​$528. What pe
    11·1 answer
  • Tom Brady throws 100 passengers in complete 75 of them what percent of his passes are completed
    13·2 answers
  • Which equation provides the best estimate of the product of 229 and 3.22?
    7·1 answer
  • Mount Everest has a height of 8,850 meters above
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!