Question
Asked Nov 21, 2019
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Give all possible rational zeros for the following polynomial. 
p(x)= 6x3 + 24x2 + 2x - 3 

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Expert Answer

Step 1

Consider the polynomial function p(x) = 6x3 + 24x2 + 2x – 3. The leading coefficient is 6 and constant term is -3.

 

To find all possible zero of the polynomial need to apply Rational Root Test to the polynomial. According to Rational Root Test:

 

A polynomial of the form

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f(x)=ax +a_zx^l ++azx* +qx+ a where ap, a.ag are integer Then ag is the leading coefficient and a, constant temm but a, 0 andag 0 Then every rational root is of the form p_ t(factors of a, qt(factors of a)

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Step 2

The coefficient of the term of the highest degree which is leading coefficient is 6 and the constant te...

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(factors of a ±(factors of t(factors of -3 ±(factors of 6) t1t3 1,+2,13,16 =t1, t3 ,

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