Given a polynomial f(x), if (x − 2) is a factor, what else must be true?

Mathematics

2 answers:

HACTEHA [7]3 years ago

8 0

f(2)=0 just took the quiz

raketka [301]3 years ago

7 0

<span>If (x-2) is a factor of polynomial , f(x).Then, it means we can find the zeros or the solutions of the polynomial by putting f(x-2) = 0.Because, the zeros or roots of a polynomial is found by putting f(x)=0, where x is a factor of the polynomial. Example, say f(x)= x^2-2 Which implies, f(x) = (x-2)(x+2) Here, both x-2 and x+2 are the factors of the polynomial. So,x-2 = 0, we get, x=2 is a zero of the polynomial.</span>

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Can someone solve this?

Gemiola [76]

Answer:

B : $4x\sqrt{17}$

Step-by-step explanation:

If you divide a rhombus using its diagonals, you get 4 right triangles, whose legs are both 1/2 the length of the diagonals.

This means that the legs of one of those 4 triangles have lengths of 2x/2, and 8x/2, so the legs of one of those triangles x and 4x. This makes the length of one side equal to $\sqrt{x^{2} + (4x)^{2}} = \sqrt{17x^2} = x\sqrt{17}$ . Because all 4 sides are the same length, you multiply this value by 4, and get $4x\sqrt{17}$ , which is B.