(a)
\The equations are
and
.
1. Draw a coordinate plane.
\2. Graph the functions
and
in the same coordinate plane.
Graph :
\
\ \
(b)
\Observe the above graph :
\The graphs of two functions are equivalent.
(c)
\The equations are
and
.
Rewrite the 1st equation in long division form
.
Divide the first term of the dividend by the first term of the divisor
.
So, the first term of the quotient is
.Multiply
by
and subtract.
\
The remainder is the last entry in the last row.There fore,
.
The number along the bottom row are the coefficients of the quotient.
\By the division algorithm theorem, the result of the division is
.
The result of the division is
.
Thus,
.
(a)
\Graph :
\
(b)
\The graphs of two functions are equivalent.
\(c)
\The result of the division is
.