1.) y=(x+3)(x-1)(x+1)
x-intercepts : (-3, 0), (-1, 0), (1, 0)
y-intercept : (0, -3)
roots : x=-3, x=-1, x=1
multiplicity of roots: One
2.) f(x)=x²-16
x-intercepts : (-4, 0), (4, 0),
y-intercept : (0, -16)
roots : x=-4, x=4
3.V(x)=x³-8x²+19x-12
x-intercepts : (1, 0), (3, 0), (4, 0)
y-intercept : (0, -12)
roots : x=1, x=3, x=4
4.g(x)=-x⁵+10x³-9x
x-intercepts : (0, 0), (-1, 0), (1, 0), (-3, 0), (3, 0)
y-intercept : (0, 0)
roots : x=0, x=-1, x=-3, x=3
5.) p(x)=2x⁴+7x³-4x²-27x-18
x-intercepts : (-1, 0), (2, 0), (-3/2, 0), (3, 0)
y-intercept : (0, -18),
roots : x=1, x=2, x=-3/2, x=-3
hope it helps
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Answers & Comments
1.) y=(x+3)(x-1)(x+1)
x-intercepts : (-3, 0), (-1, 0), (1, 0)
y-intercept : (0, -3)
roots : x=-3, x=-1, x=1
multiplicity of roots: One
2.) f(x)=x²-16
x-intercepts : (-4, 0), (4, 0),
y-intercept : (0, -16)
roots : x=-4, x=4
multiplicity of roots: One
3.V(x)=x³-8x²+19x-12
x-intercepts : (1, 0), (3, 0), (4, 0)
y-intercept : (0, -12)
roots : x=1, x=3, x=4
multiplicity of roots: One
4.g(x)=-x⁵+10x³-9x
x-intercepts : (0, 0), (-1, 0), (1, 0), (-3, 0), (3, 0)
y-intercept : (0, 0)
roots : x=0, x=-1, x=-3, x=3
multiplicity of roots: One
5.) p(x)=2x⁴+7x³-4x²-27x-18
x-intercepts : (-1, 0), (2, 0), (-3/2, 0), (3, 0)
y-intercept : (0, -18),
roots : x=1, x=2, x=-3/2, x=-3
multiplicity of roots: One
hope it helps