Question

state remainder theorem-4<3x+5<8

Answer 1

Answer:

the linear factor x – 4 (so a = 4):

completed division: quotient x^2 + 4x + 9, remainder 30

So we get a quotient of q(x) = x2 + 4x + 9 on top, with a remainder of r(x) = 30.

You know, from long division of regular numbers, that your remainder (if there is one) has to be smaller than whatever you divided by. In polynomial terms, since we're dividing by a linear factor (that is, a factor in which the degree on x is just an understood "1"), then the remainder must be a constant value. That is, when you divide by "x – a", your remainder will just be some number.

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Answer 2

Answer:4<3x+5<8

4-5<3x<8-5

-1<3x<3

-1/3<x<1

So x={-1/3,1}

Step-by-step explanation:

Hope it helps you....