Question

what is the product of zeros of polynomials 2 x square - 3 n+8
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Answer 1

Answer:

the product of zeroes will be 4

Answer 2

Step-by-step explanation:

ANSWER:-

Given Polynomial:-

$2 {x}^{2} - 3x + 8$

Applicable Methods:-

• Middle Term Factorisation
• Consideration of Zeroes.

So, first we will find the Zeroes by Middle Term Facrorisation.

Middle Term Factorisation:-

• It is a process in which we break up the coefficient of the Middle term of a quadratic Equation.
• Then, we make applicable factors and factorise the term.

As we can see that there is no applicable Term, this method is not applicable.

So, we will use the second Method.

Let the two Zeroes be

$\alpha \: and \: \beta$

So, we know that:-

$\alpha + \beta = \dfrac{ - b}{a}$

$\alpha \beta = \dfrac{c}{a}$

• Where a is 2
• Where b is -3
• Where c is 8

So, we need to find the products.

$\alpha \beta = \dfrac{8}{2}$

$=4$

So, product of two zeroes is 4.