Question

Given the trinomial 2x2 + 4x − 2, what is the value of the discriminant?

Answer 1

Answer: The value of discriminant is 32.

Explanation:

Since we have given that

`2x^2+4x-2`

We need to find the value of discriminant whose formula is given below

`b^2-4ac`

here

`a=2\\\\b=4\\\\c=-2`

so, our discriminant becomes,

`4^2-4* 2* (-2)\\\\=16+16\\\\=32`

Hence, the value of discriminant is 32.

Answer 2

The value of the discriminant is, 32

Explanation:

A quadratic trinomial is an expression of the form:

`ax^2+bx+c=0` ; where x is a variable and a, b and c are non-zero constants. The constant a is called the leading coefficient, b is called the linear coefficient, and c is called the additive constant.

The discriminant(D) of a quadratic trinomial is defined as:
`D=b^2-4ac`

Given the trinomial
`2x^2+4x-2 = 0`

we have a=2, b= 4 and c= -2

then,

`D =b^2-4ac`

`D=(4)^2-4(2)(-2)` or

`D = 16+16` or

`D=32`

Therefore, the discriminant value of the given trinomial is,
`32`