a) degree = 4.
b) y intercept is 0.
To find y intercept put x =0,
i,e. Find f(0).
f(0) = 0^4 + 4* 0^3 + 4* 0^2 = 0 (answer).
c) zeros are 0 & -2.
To find zeros,
Solve x^4 + 4x^3 + 4x^2 = 0
or, x^2 ( x^2 + 4x + 4) = 0
or, x^2 (x^2 + 2*x*2 + 2^2 ) = 0
or, x^2 ( x+ 2)^2 = 0
or, x = 0 , 0, -2, -2
d). End behaviour should be f(x)→∞ as x→−∞ and f(x)→∞ as x→∞
Degree of the polynomial is 4, i.e. even,
leading coefficient is 1, i.e. positive.
This implies that f(x)→∞ as x→−∞
and f(x)→∞ as x→∞.
e)
Thumbs up please
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