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Find the product of the binomials f(x) and g(x). Write your answer in standard form.

The product of the binomials f(x) and g(x) is .

Solution:

Let us find the equation of line f.

Points on the line f are (2, 2) and (1, 0).

Slope of the line f:

m = 2

y-intercept of line f = c = -2

Equation of a line f:

y = mx + c

f(x) = 2x - 2

Now, find the equation of line g.

Points on the line f are (0, 4) and (2, 2).

Slope of the line g:

m = -1

y-intercept of line g = c = 4

Equation of a line g:

y = mx + c

g(x) = -x + 4

Product of f(x) and g(x):

The product of the binomials f(x) and g(x) is .

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step-by-step explanation:

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