Question

4. What are the factors of the polynomials based on the equation
(2w - 5)(w + 8) = 0
Support your choice:​

Answer 1

Given,

Polynomial, $\[\left( {2w - 5} \right)\left( {w + 8} \right) = 0\]$

Solution,

Factors of the polynomial,

To calculate the factor each part is equate to zero.

$\[\begin{array}{l}2w - 5 = 0\\ \Rightarrow 2w = 5\\ \Rightarrow w = \frac{5}{2}\end{array}\]$

Next

$\[\begin{array}{l}w + 8 = 0\\ \Rightarrow w = - 8\end{array}\]$

Hence the factors are $\[ - 8,\frac{5}{2}\]$.

Answer 2

The factors the polynomial are, $-8$ and $\frac{5}{2}$.

Step-by-step explanation:

Let us solve the given exercise.

Equating each part to zero we get,

$\begin{aligned}&2 w-5=0 \\&\ 2 w=5 \\&\ w=\frac{5}{2}\end{aligned}$

 Evaluating further,

$\begin{aligned}&w+8=0 \\&\ w=-8\end{aligned}$

Thus, we get the factors as,$-8,\frac{5}{2}.$