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Figure 1 shows a sketch of part of the curve C with equation y = 1/x+2
a) state the equation of the asymptote of C that is parallel to the y-axis.
b) Factorize fully x^3 + 4x^2 + 4x
A copy of Figure 1, labelled Diagram 1, is shown on the next page.
c) On diagram 1, add a sketch of the curve with equation
y = x^3 + 4x^2 + 4x
On your sketch state clearly the coordinates of each point where this curve cuts or meets the coordinate axes.
d) Hence state the number of real solutions of the equation
(x+2)(x^3 + 4x^2 +4x) = 1

Figure 1 shows a sketch of part of the curve C with equation y 1x2 a state the equation of the asymptote of C that is parallel to the yaxis b Factorize fully x3 class=


Answer :

Answer:

(a) x=-2

(b) x^3+4x^2+4x = x(x+2)^2

(c)

(d) (x+2)(x^3+4x^2+4x) = 1

for a detailed explaination here is a video i found :https://youtu.be/WKwVJI1J7IQ

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