4
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 4 • Algebra I

Tomas factored the polynomial completely. What is true about his final product? 3 x to the 4th power minus 18 x cubed plus 9 x squared minus 54 x cap A x open paren x squared plus cap b close paren open paren x plus cap c close paren

Answer
A
A and b are both 3 .
B
b and c are both positive.
C
A and b are both 6 .
D
b and c are both negative.

Explanation

Factor out the greatest common factor, 3x: 3x(x³ − 6x² + 3x − 18). Group the remaining terms: x²(x − 6) + 3(x − 6) = (x² + 3)(x − 6). So the final product is 3x(x² + 3)(x − 6), which means A = 3 and b = 3. Choice A is true.

AI-written and checked against the verified answer.

Previous
Next