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Which expression represents “one half of x
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The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:
<h3>How to write the polynomial?</h3>
A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:
Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.
Then this polynomial is equal to:
If you want to learn more about polynomials:
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Consider a right triangle in which one of the angles satisfies
That is, the side opposite occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to
then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,
because
Then in this triangle,