What polynomial function has the zeros -3,1,5

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

Answer:

x³ - 3 x² - 13 x + 15 = 0

Step-by-step explanation:

Basically you can create three factors like this:

(x+3)(x-1)(x-5)=0

That will each represent one zero.

Work it out and you get x³ - 3 x² - 13 x + 15 = 0

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What is the area of the square adjacent to the third side of the triangle?

lana66690 [7]

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = $\sqrt{33}$ .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = $\sqrt{44}$ .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.