The expression below is the factorization of what trinomial?(7x + 5)(2x - 3)A.14x2 + 2x + 15B.14x2 - 11x - 15C.14x2 + 2x - 15D.14x2 - 11x + 15SUBMITarrow_backPREVIOUS
Question
The expression below is the factorization of what trinomial?(7x + 5)(2x - 3)A.14x2 + 2x + 15B.14x2 - 11x - 15C.14x2 + 2x - 15D.14x2 - 11x + 15SUBMITarrow_backPREVIOUS
Solution
To find the trinomial, we need to expand the expression (7x + 5)(2x - 3).
Step 1: Distribute 7x through the second parentheses: 7x * 2x = 14x^2 7x * -3 = -21x
Step 2: Distribute 5 through the second parentheses: 5 * 2x = 10x 5 * -3 = -15
Step 3: Combine like terms: 14x^2 - 21x + 10x - 15 = 14x^2 - 11x - 15
So, the trinomial is 14x^2 - 11x - 15, which corresponds to option B.
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