Answer:
- B. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using grouping
Explanation:
The description may be better explained by applying it to an example.
Example:
- the general form of a trinomial is a x² - bx - 30
- comparing with x² - x - 30 the bx term is - x
- then you must rewrite the bx term, - x, into two terms whose coefficients are factors of 30:
Two numbers which add up - 1 and multipled are - 30. Those numbers are - 6 and + 5, because -6 + 5 = - 1 and (-6) × (+5) = -30.
Hence, the two terms are -6x and 5x, and the expression rewritten is:
x² - 6x + 5x - 30
- factor these four terms using grouping:
(x² - 6x) + (5x - 30)
x(x - 6) + 5(x - 6)
(x - 6) (x + 5)
Hence, the factored trinomial is (x - 6) (x + 5)
