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Find a rational zero of the polynomial function and useit to find all the zeros of the function.31) f(x)-3x3 - 17x2 + 18x +8

Question
Find a rational zero of the polynomial function and use
it to find all the zeros of the function.
31) f(x)-3x3 - 17x2 + 18x +8
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Find a rational zero of the polynomial function and use it to find all the zeros of the function. 31) f(x)-3x3 - 17x2 + 18x +8

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Step 1

To solve the root of the  provided function  f(x)=3x3-17x2+18x+8.  Now, First use the rational theorem 

a0=8, an=3

The dividers of a0 : 1,2,4,8 

The dividers of a: 1,3

Therefore, check the following rational numbers: ±1,2,4,8/1,3

2/1 is the root of the expression, so factor out x-2.

Step 2

Divide the given equation by (x-2).

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Step 3

Again, Divide -11x2+18x+8 by (x-...

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Math

Algebra

Polynomials

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