Factor the trinomial completely.
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A) (4a + 4)(3a + 5)
B) (4a + 13)(3a + 11)
C) (4a + 1)(3a + 2)
D) (4a + 14)(3a + 10)

Question

Factor the trinomial completely.
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A) (4a + 4)(3a + 5) 
B) (4a + 13)(3a + 11) 
C) (4a + 1)(3a + 2) 
D) (4a + 14)(3a + 10)

Quizplus · Accepted Answer

To factor the trinomial 11ebb63d_1be4_ecf7_b851_4d3a3cb2fd77_TB8475_11, we need to find two binomials whose product is equal to the trinomial. The first term of the trinomial is 12a^2 (11 times a times a), so the binomials' first terms are 4a and 3a (3 times 4 is 12). The last term of the trinomial is -55, so the binomials' last terms are -11 and 5 (5 times -11 is -55). The middle term of the trinomial is -2a, so we need to check which combination of the binomials' terms will give us -2a when their product is multiplied. We see that 4a times -11 is -44a and 3a times 5 is 15a. So the binomials are (4a + 13) and (3a + 5). Therefore, the trinomial factorizes to (4a + 13)(3a + 5).

Factor the Trinomial Completely