Help please?

Question

Help please?

1 Answer

Impact of this question

1059 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-30T00:35:10

Required Polynomial Function is given by
$x^{3} - 7 x - 6 = 0$ $x^3 - 7x - 6 = 0$

Explanation:

Since we are given Zeros of the Polynomial Function, we will convert these Zeros to factors in our first step.

Hence, we get the factors as follows:

$(x + 1) (x + 2) (x - 3) = 0$ $(x + 1) (x + 2) (x - 3) = 0$

Why are we doing this?

You must observe that since (x + 1) is a factor, then we write (x + 1) = 0, and $x = - 1$ $x = -1$ which gives us ( -1 ) as a Zero for our Polynomial.

In our next step, we will multiply these Binomials to expand and to obtain the required polynomial function.

Use FOIL Method to expand our Binomials.

$(x + 1) (x + 2) (x - 3) = 0$ $(x + 1) (x + 2) (x - 3) = 0$

First we will multiply

$(x + 1) (x + 2)$ $(x + 1) (x + 2)$

$\Rightarrow (x^{2} + 2 x + 1 x + 2)$ $rArr (x^2 + 2x + 1x + 2)$

$\Rightarrow (x^{2} + 3 x + 2)$ $rArr (x^2 + 3x + 2)$

Next we will multiply

$(x^{2} + 3 x + 2) (x - 3)$ $(x^2 + 3x + 2)(x - 3)$

$\Rightarrow (x^{3} + 3 x^{2} + 2 x - 3 x^{2} - 9 x - 6)$ $rArr (x^3 + 3x^2 + 2x - 3x^2 - 9x -6)$

$\Rightarrow (x^{3} - 7 x - 6)$ $rArr (x^3 - 7x -6)$

Hence, our required Polynomial Function is

$(x^{3} - 7 x - 6) = 0$ $(x^3 - 7x -6) = 0$

Science

Math

Humanities

... and beyond

Help please?

1 Answer

Explanation:

Related questions

Impact of this question