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2 answers:
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Jen take x hours.
Carl (x-3)hours.
Jen+carl take two hours;
This means;
In 1 hour, for they work
=
=
Working together, they take two hours;
Take reciprocal of above equation and equate to two;
=
-3x=4x-6
-x-6x+6=0
x(x-1)-6(x-1)=0
(x-6)(x-1)=0
Take the bracket x-6=0 so that Carl works positive hours
x-6=0
x=6
Carl (x-3)hours.
Jen+carl take two hours;
This means;
In 1 hour, for they work
=
=
Working together, they take two hours;
Take reciprocal of above equation and equate to two;
=
x(x-1)-6(x-1)=0
(x-6)(x-1)=0
Take the bracket x-6=0 so that Carl works positive hours
x-6=0
x=6
Refer to the image attached.
Since, we have to divide the polynomial by (x+2) using synthetic division.
We will divide the coefficients 4 -2 3 by -2
First term = 4 will remain same.
Second term =
So, second term = -10
Third term =
So, third term = 23
So, 4 -10 23 is the correct answer
So, Option 2 is the correct answer.
