Answer:
(a) 6a³ +22a² +14a -10
Explanation:
You want the product of (3a +5) and (2a² +4a -2).
Distributive property
The distributive property is used to eliminate the parentheses when simplifying the product.
(3a +5)(2a² +4a -2) = 3a(2a² +4a -2) +5(2a² +4a -2)
= 6a³ +12a² -6a +10a² +20a -10
= 6a³ +(12+10)a² +(-6+20)a -10
= 6a³ +22a² +14a -10
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Additional comment
The leading coefficient of the product is the product of the leading coefficients: 3·2 = 6. This eliminates the last two answer choices.
The first two answer choices differ only in the "a" term, so you only need to find that one. It will be the sum of terms (3a)(-2) and (5)(4a), so is -6a+20a = 14a.
You can also "guess" that the "a" term will be 14a, because that appears the most often among the answer choices.
The first answer choice is the correct one.