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joja [24]
3 years ago
6

Is f(x)=(3x-6)(-4x+2) linear or quadratic

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer: It is quadratic.


Step-by-step explanation:

1. You have the following function:

f(x)=(3x-6)(-4x+2)

2. To determine if it is linear or quadratic, you can apply the Distributive property of multiplication, as you can see below:

f(x)=(3x)(-4x)+(3x)(2)+(-6)(-4x)+(-6)(2)\\f(x)=-12x^{2}+6x+24x-12\\f(x)=-12x^{2}+30x-12

3. The function has the form of a quadratic function:

f(x)=ax^{2}+bx+c

4. Therefore, it is a quadratic function.


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