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EleoNora [17]
2 years ago
10

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

Mathematics
2 answers:
horrorfan [7]2 years ago
8 0
Hi,

the answer is A. (ab)(x)
sukhopar [10]2 years ago
5 0

Answer:

Option A (ab)(x) will form the quadratic equation.

Step-by-step explanation:

We have been given that a(x) and b(x) are linear function so we can assume

a(x)= cx+d  and b(x) = ex+f  substituting these values in the given options

In case A let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

(cx+d)(ex+f) after simplification we will get cx(ex+f)+d(ex+f) =cex^2+cxf+dex+df

This is a quadratic equation because the degree of this equation is 2.


In case B let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

\frac{(cx+d)}{(ex+f)} which is itself a simplified from and degree in this case is 1.

Hence, this is not the quadratic equation.


In case C let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

(cx+d)-(ex+f) after simplification we will get cx+d-ex-f

This is again not a quadratic equation since, degree in this case is 1.


In case D let us substitute the values a(x)= cx+d  and b(x) = ex+f  we will get

(cx+d)+(ex+f) after simplification we will get cx+d+ex+f

This is again not a quadratic equation since, degree in this case is 1.

Therefore, Option A (ab)(x) will form the quadratic equation.

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