3 years ago

Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.

Mathematics

1 answer:

just olya [345]3 years ago

3 0

The get (x-1)(x-√2)(x+√2)(x-√3)(x+√3).

Expanding, you get x^5-x^4-5x^3+5x^2+6x-6.

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Please help me answer for 35 and 36

dexar [7]

Answer:

35. $f(2)=16$

36. $f(2)=77$

Step-by-step explanation:

Question 35:

Given:

$f(1)=32$

$f(n)=f(n-1)\times \frac{1}{2}$

Plug in 2 for $n$ and simplify. This gives,

$f(2)=f(2-1)\times \frac{1}{2}\\f(2)=f(1)\times \frac{1}{2}\\f(2)=32\times \frac{1}{2}\\f(2)=16$

Therefore, term 2 is 16.

Question 36:

Given:

$f(1)=11$

$f(n)=f(n-1)\times 7$

Plug in 2 for $n$ and simplify. This gives,

$f(2)=f(2-1)\times 7\\f(2)=f(1)\times 7\\f(2)=11\times 7\\f(2)=77$

Therefore, term 2 is 77.

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