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zhannawk [14.2K]
3 years ago
10

Can someone help me with this question?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0
-3. Put the two equation equal to each other and solve. 
4x+18=2x+12
-2x=-2x 
2x+18=12 
-18=-18 
2x=-6 
2x/2=-6/2
x=-3
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P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)
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Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}⇒(1)

\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}⇒(2)

\frac{2x-14}{x-7}=2⇒(3)

From (1) , (2) and (3)

The quotient of the long division is x^{2}+x+2 and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

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