Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.
As given in the question,
P(x) be the given polynomial
Dividing P(x) by divisor (x-6) we get,
Quotient = Q(x)
Remainder = 5
Relation between polynomial, divisor, quotient and remainder is given by :
P(x) = Q(x)(x-6) + 5 __(1)
Given Q(-6) = 3
Put x =-6 we get,
P(-6) = Q(-6)(-6-6) +5
⇒ P(-6) = 3(-12) +5
⇒ P(-6) =-36 +5
⇒ P(-6) = -31
Now x =6 in (1),
P(6) = Q(6)(6-6) +5
⇒ P(6) = Q(6)(0) +5
⇒ P(6) = 5
Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.
The complete question is:
Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).
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Answer:
The expression 5 × 2 = 10 means:
- 10 is 5 times as many as 2.
Step-by-step explanation:
Given the expression
From the expression, it is clear that we can determine that when we multiply 2 by 5 to get 10.
In other words, we can determine the value 10 by:
It means 10 is 5 times as many as 2.
Therefore, the expression 5 × 2 = 10 means:
- 10 is 5 times as many as 2.
3x - 4y = 9 and 2x + 3y = 7, which of the following would be the best method?
The answer will be 40 feet because w = 10 feet’s so it will decrease into 100
X^2 + 4x - 16 - 11/(x + 2)