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nevsk [136]
3 years ago
9

What is the solution 4x-10=x+3x-2x​

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer:

5/4 = x

Step-by-step explanation:

4x-10=x+3x-2x

-4x     -4x  <----- Subtract 4x from both sides

-10=x+3x-2x-4x   <------ Combine like terms

-10/-8 =-8x/-8   <----- Divide by -8 to get x alone

10/8 = x   <------ Simplify

5/4 = x

:)

 

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Dividing the polynomial P(x) by x-6 yields a quotient by Q(x) and a remainder of 5.
bazaltina [42]

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).

Learn more about polynomial here

brainly.com/question/11536910

#SPJ1

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