Answer:
The value for the variable a is -3, which makes Rudy incorrect.
Explanation:
The polynomial 5v³ - 4v² + 10v -1 is subtracted from 7v² + 2v³ -7v
First, reorder the polynomials so that they are in descending order by powers:
(2v³ + 7v² - 7v) - (5v³ - 4v² + 10v - 1)
Next, distribute the negative sign to all terms within the second parenthesis:
(2v³ + 7v² - 7v) + (-5v³ + 4v² - 10v + 1)
Add common terms together (terms with the same amount of variables:
2v³ - 5v³ + 7v² + 4v² - 7v - 10v + 1
-3v³ + 11v² - 17v + 1
Rudy is trying to find the value of a inside the expression. Note the expression:
av³ + bv² + cv + d = -3v³ + 11v² - 17v + 1
The value for the variable a is -3, which makes Rudy incorrect.
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