Answer the question.Explain the difference between adding rational expressions and solving rational equations.
What will be an ideal response?
When adding rational expressions, we use the least common denominator to write an expression equivalent to the sum of the given expressions. We do not clear fractions when adding rational expressions. When solving rational equations, we use the least common denominator to clear fractions and then proceed to find the value(s) of the variable for which the equation is true.
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Multiply and reduce to lowest terms.
? 
A. 
B. 
C. 
D. 
Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form 
f(x) = 2x3 + 16x2 + 39x + 45; c = -5
A. No B. Yes; f(x) = (x - 5)(2x2 + 6x - 9) C. Yes; f(x) = (x + 5)(2x2 + x + 9) D. Yes; f(x) = (x + 5)(2x2 + 6x + 9)
Solve the problem.A square component in a television set measures 22 centimeters per side. Next year's design will contain the same square component, but its side will measure only 19 centimeters. By how much will the area of the square be decreased?
A. 12 square centimeters B. 9 square centimeters C. 123 square centimeters D. 361 square centimeters
Solve the SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two triangles. Solve the resulting triangle. Round angle measures to the nearest degree and lengths to the nearest tenth when necessary.A = 85°, a = 3, b = 6
A. B = 42°, C = 53°, c = 11 B. No triangle exists. C. B = 44°, C = 51°, c = 13 D. A = 43°, C = 52°, c = 9