Question

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

Answer 1

ANSWER

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

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:

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