Final answer:
To find the coefficient A of the given expression (2t-2)(4t+4)+4t-6, we first expanded the terms and then combined like terms, leading us to conclude that the value of A is 8.
Step-by-step explanation:
The question asks us to identify the coefficient A in the expression (2t-2)(4t+4)+4t-6 with the quadratic form At2+Bt+C. First, we multiply the terms in the expression.
- (2t-2)(4t+4) = 8t2+8t-8t-8 = 8t2-8.
- Now we combine the multiplied terms with the remaining term in the expression: 8t2-8 + 4t - 6.
- We collect like terms, which gives us 8t2 + 4t - 14.
The coefficient A is the coefficient of the t2 term, which, in this expression, is 8. So, A equals 8.