waigaK

2021-02-21

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.

Find the real zeros of$f(x)=5{x}^{3}\text{}-\text{}{x}^{2}\text{}+\text{}5x\text{}-\text{}1$

Find the real zeros of

AGRFTr

Skilled2021-02-22Added 95 answers

Given: find all real zeros of

Used concept :

Rational zeros theorem:

Let P(x) is a polynomial. if p/q isazetoof P(x) then p is the factor of the constant term of P(x) and q is the factor of the leading coefficient of P(x).

Let

Here, p is a factor of the constant term

and q is a factor of the leading coefficient 5.

So, the possible value of

and

Now, the possible value of

Now, check the value of function

So, the zero of the given function is

Finally answer is:

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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