Question

Given 3 is a zero of the polynomial 2x^3-x^3-13x-6. find its other zeroes​

Answer 1

`p(x) =( x - 3)(2{x} + 1)(x + 2)`

Step-by-step explanation

The given polynomial is

`2 {x}^(3) - {x}^(2) - 13x - 6`

If 3 is a root of this polynomial, then

`x - 3`

is a factor.

We use long division to obtain the quotient as shown in the attachment.

We can the factor the polynomial as:

`p(x) =( x - 3)(2{x}^(2) + 5x + 2)`

The complete factored form is:

`p(x) =( x - 3)(2{x} + 1)(x + 2)`