Question

Given g(x)=xpower of 2-6x-16,which statement is true?

Answer 1

For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).

What is a quadratic function?

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic function is,

$f(x)=ax^2+bx+c$

Here,(a,b, c) is the real numbers and (x) is the variable.

The quadratic function given in the problem is,

$g(x)=x^2-6x+16$

Factorized it with split the middle term method,

$g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)$

Equate the factors of the function, to find the zeros,

$x-8=0;x=8\\x+2=0;x=-2$

Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

#SPJ1