Factor. 7y^2 + 9y + 2 ____

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Identify a, b, c: Identify a, b, and c in the quadratic expression 7y^2 + 9y + 2. Compare 7y^2 + 9y + 2 with the standard form ay^2 + by + c. a = 7 b = 9 c = 2Find numbers for multiplication: Find two numbers that multiply to a*c (which is 7*2=14) and add up to b (which is 9). We need to find two numbers that satisfy these conditions. After checking possible pairs that multiply to 14 (such as 1 and 14, 2 and 7), we find that the pair 1 and 14 does not add up to 9, but the pair 2 and 7 does. So, the two numbers are 2 and 7.Rewrite middle term: Rewrite the middle term 9y using the two numbers found in Step 2. We can express 9y as 7y + 2y. So, the expression 7y^2 + 9y + 2 can be rewritten as 7y^2 + 7y + 2y + 2.Factor by grouping: Factor by grouping. We group the terms as follows: (7y^2 + 7y) + (2y + 2). Now, factor out the greatest common factor from each group. From the first group, we can factor out 7y, giving us 7y(y + 1). From the second group, we can factor out 2, giving us 2(y + 1).Write factored form: Write the factored form of the expression. Since both groups contain the factor (y + 1), we can factor this out. The factored form is (7y + 2)(y + 1).

Factor. $\newline$ $7y^2 + 9y + 2$

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Factor. $\newline$ $7y^2 + 9y + 2$