![meganwintergirl](/avatars/31624.jpg)
meganwintergirl
19.09.2021 •
Mathematics
The expression (a + 1)x^3 + (2 – 3a)x^2 – (3a – 1)x +
2a – 13 has a factor x – 3. Find the value of a and
hence find the other two factors of the expression.
Solved
Show answers
More tips
- L Leisure and Entertainment Unlocking the Secrets of Fast and Effective Tectonic Learning...
- S Style and Beauty How to Choose the Perfect Hair Color?...
- C Computers and Internet Best iPad Games: Our Opinion...
- A Animals and plants Man s Best Friend: Which Dog Breed Is the Most Friendly?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
Answers on questions: Mathematics
- M Mathematics Need help on this equation please!!...
- M Mathematics Solve the system by the substitution method 8x-3y=-22 and y=5x+19...
- E English B. Compound Sentences The temples of Angkor were built before 1200, and since 1860 many of them have been restored to their original beauty....
- B Business Anchor Company purchased a manufacturing machine with a list price of $91,000 and received a 2% cash discount on the purchase. The machine was delivered under terms FOB shipping point,...
- S Social Studies 2. Aluminum powder inside an Etch A Sketch sticks to its screen because of static electricity, which results from two I need help...
- E English Write a short story to justify the theme favors other stepping stones of succes...
- M Mathematics Me on this question and explain it...
Ответ:
the other two factors, (2x+1)(3x+1)
Step-by-step explanation:
(a + 1)x³ + (2 – 3a)x² – (3a – 1)x + 2a – 13 = 0 ...(1)
x-3 = 0 x = 3
(a + 1)*3³ + (2 – 3a)*3² – (3a – 1)*3 + 2a – 13 = 0
-7a + 35 = 0
a = 5 .. substitute to (1)
6x³ -13x² – 14x -3 = 0
(x-3)(6x²+px+1) = 0 1*x * 6x² = 6x³, -3 * 1 = -3
6x³ +(p-18)x² +(1-3p)x -3 = 0
p-18 = -13
p = 5
6x²+5x+1 = (2x+1)(3x+1)
Ответ:
151 is the answer. hope this helps :)