Draw the graph of the quadratic polynomial
by taking different values of x
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Answers
Answered by
25
Explanation:
the roots are where the graph crosses the
x
−
axis.
that is when
y
=
0
graph{x^2-8x+16 [-3.74, 14.04, -2.56, 6.33]}
As can be seen from the graph it touches the
x
−
axis at one point only
x
=
4
Algebraically
we could use factorising., completing the square or the formula.
look for factorising first
x
2
−
8
x
=
16
=
0
(
x
−
4
)
2
=
(
x
−
4
)
(
x
−
4
)
=
0
∴
x
−
4
=
0
⇒
x
=
4
the repeated brackets show that we have repeated roots, and that the
x
−
axis is a tangent to the graph.
Hope it helps
Answered by
103
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