Question

F(x) = 8x2 – 2x 3 g(x) = 12x2 4x – 3 What is h(x) = f(x) – g(x)? h(x) = 20x2 2x h(x) = –4x2 – 6x h(x) = –4x2 – 6x 6 h(x) = –4x2 2x.

Answer 1

To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.

The result of the difference of the given quadratic equation is,

$h(x)=-4x^2-6x+6$

Hence option 3 is the correct option.

What is quadratic equation?

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

The standard form of the quadratic equation is,

$ax^2+bx+c=0$

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

To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.

Given information-

The given quadratic equations are,

$f(x)=8x^2-2x+3$

$g(x)=12x^2+4x-3$

The function $h(x)$ is the difference of the two given functions. Thus,

$h(x)=f(x)-g(x)$

Put the values,

$h(x)=(8x^2-2x+3)-(12x^2+4x-3)$

Open the brackets by multiplying with sign as,

$h(x)=8x^2-2x+3-12x^2-4x+3$

Separate the terms with same power of variable as,

$h(x)=8x^2-12x^2-2x-4x+3+3$

To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.Thus,

$h(x)=-4x^2-6x+6$

Thus the result of the difference of the given quadratic equation is,

$h(x)=-4x^2-6x+6$

Hence option 3 is the correct option.

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

Answer 2

Answer:

c

Step-by-step explanation:

magic