For multiple-choice questions, it is often faster to check the answers than to try to figure out what the answer should be.
Only selections (A) and (D) match the first entry in the table.
Of those, only selection (A) matches the second entry in the table.
The appropriate choice is ...
(A) y = x + 9
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
3 is the greatest common denominator
