quokkamokka97
02.04.2021 •
Mathematics
Find the values of a and b given that the polynomial P(x) = x^3+ ax^2 +x+b, is divisible by both x-1 and x + 3.
Solved
Show answers
More tips
- F Family and Home When and how to start introducing solid foods to your baby?...
- B Business and Finance Moneybookers – What it is and How it Works...
- C Computers and Internet How to Format Your C Drive: Detailed Guide and Tips...
- F Food and Cooking What can and cannot be eaten during Lent?...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- D Dating, Love, Relationships Is it a Compliment or Flattery: What s the Difference?...
- S Science and Technology The Metric System in Our Daily Life: Understanding Its Importance...
- C Computers and Internet What to Do If Your ICQ Gets Hacked?...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics I need help solving and explaining how to solve it...
- S Social Studies Social hierarchy that rejects individualism...
- M Mathematics The function below relates the distance (measured in miles) Bob can drive his rental car and the amount of money ( in dollars ) it will cost . It takes as input the number...
- H History Pls help with this question...
- H History Why was Guy Fawkes upset with James I? (Why did he want to kill him?)...
Ответ:
a=4
b=-6
Step-by-step explanation:
If P(x) is divisible by x-c, then P(c)=0.
So P(1)=0 implies 1^3+a1^2+1+b=0
and
P(-3)=0 implies (-3)^2+a(-3)^2+-3+b=0
So notice we have a system to solve.
Let's simply it.
First equation:
1^3+a1^2+1+b=0
1+a+1+b=0
2+a+b=0
a+b=-2
Second equation:
(-3)^3+a(-3)^2+-3+b=0
-27+9a-3+b=0
9a+b-30=0
9a+b=30
Let's put our system together:
a+b=-2
9a+b=30
This is setup so if we subtract the equations b will eliminate allowing us to solve for a:
-8a=-32
a=4
If a=4 and a+b=-2, then 4+b=-2 giving us b=-6.
a=4
b=-6
Ответ:
do it my putting distance formula hooe you will get it