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ICE Princess25 [194]
4 years ago
9

Factor the polynomial completely given that -2 is a zero. You must show the division of the polynomial, the new quadratic to be

factored and all three final factors of this polynomial.
f(x)=x^2+3x^2-10x-24
Mathematics
1 answer:
mojhsa [17]4 years ago
7 0
(x^2+3x^2-10x-24)/(x+2)
(4x^2-10x-24)/(x+2)
4x^2-10x-24=0
2x^2-5x-12=0
2x^2-5x-12/(x+2)
2x=(2x^2-5x)-(2x^2+4x)>>-9x-12
2x-9=(-9x-12)-(-9x-18)
2x-9=6
4x-18=12>>4x-6
(x-4)(2x+3) is the factorization
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Which graph has a domain of -∞ < x < ∞ and a range of -∞ < y
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The graph of the option in the question has a domain of -∞ < x < 3.5.

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<h3>Which method can be used to find the graph that has a domain of -∞ < x < ∞?</h3>

The domain of a graph are the possible x-values that can be obtained from the graph.

A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.

An asymptote is a straight line to which a graph approaches, as either the<em> </em><em>x </em>or y-value approaches infinity.

The given graph has a vertical asymptote at <em>y </em>≈ 3.5

The domain of the given graph is therefore, -∞ < x < 3.5

Similarly, the graph has a horizontal asymptote at <em>x</em> ≈ 3

The range of the given graph is therefore, -∞ < y < 3.

A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.

A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.

An example is, <em>y </em>= x

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