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

(ab)(x)

(a/b)(x)

(a – b)(x)

(a + b)(x)

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Verified Answer :

Anonymous Anonymous · Answer 1 · 2016-12-08T10:21:23-05:00

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athleticregina athleticregina · Answer 2 · 2019-03-06T09:02:37-05:00

Answer:

Option (a) is correct.

a(x)b(x) = (ab)(x)

To produce a quadratic equation the two linear equation must be multiply.

Step-by-step explanation:

Given : a(x) and b(x) are linear functions with one variable.

We have to choose from the given option the correct expression that will produce a quadratic equation.

Quadratic equation is an equation which is in the form of \(ax^2+bx+c\) where \(a eq0\)

Since given a(x) and b(x) are linear equation in one variables so to get square term we must multiply the two linear equations.

Let a(x)=3x+1

and b(x)= 8x+1

then when we multiply we get,

\(a(x)\times b(x)=(3x+1)\times (8x+1)=24x^2+11x+1\)

Thus, To produce a quadratic equation the two linear equation must be multiply.

Thus, a(x)b(x) = (ab)(x) is correct.

Option (a) is correct.