Answer:
Step-by-step explanation:
There is a typo in the question, the lengths of the sides of the prism are:
24 cm
9 cm
17 cm
(otherwise, if all sides were 9 cm, it would be a cube, not a prism)
The volume of a rectangular prism is given by:
where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
(length)
(width)
(height)
Therefore, the volume of the prism is:
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
<h3>What is a polynomial?</h3>A polynomial is is a function that contains an algebraic term which is raised to a particular power.
Now we have;
4x³ + 5x² – 18x + 9
Thus we can write;
4x³ – 3x² + 8x² – 6x – 12x + 9
Using the factors;
x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)
Therefore;
(4x – 3)(x² + 2x– 3)
(4x – 3)(x² + 3x – x – 3)
(4x – 3)(x + 3)(x – 1)
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
Learn more about polynomials:brainly.com/question/21334281
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