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

Identify a, b, c: Identify a, b, and c in the quadratic expression 2y^2 + 9y + 7. Compare 2y^2 + 9y + 7 with ax^2 + bx + c. a = 2 b = 9 c = 7Find factors and sum: Find two numbers that multiply to a*c (which is 2*7=14) and add up to b (which is 9). We need to find two numbers that satisfy these conditions. After checking possible pairs of factors of 14 (1 and 14, 2 and 7), we find that none of these pairs add up to 9. This means we cannot factor the quadratic expression by simple factorization methods.Use alternative factoring methods: Since the quadratic expression cannot be factored using simple factorization, we can either complete the square or use the quadratic formula to check if it can be factored. However, the original question prompt asks for factoring, and if it cannot be factored using integers, we may conclude that the expression is prime (cannot be factored).

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Algebra 1

Factor quadratics with other leading coefficients

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Q. Factor.

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2y^2 + 9y + 7

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $2y^2 + 9y + 7$ . Compare $2y^2 + 9y + 7$ with $ax^2 + bx + c$ . $a = 2$ $b$ $0$ $b$ $1$
Find factors and sum: Find two numbers that multiply to $a*c$ (which is $2*7=14$ ) and add up to $b$ (which is $9$ ). $\newline$ We need to find two numbers that satisfy these conditions. $\newline$ After checking possible pairs of factors of $14$ ( $1$ and $14$ , $2$ and $7$ ), we find that none of these pairs add up to $9$ . $\newline$ This means we cannot factor the quadratic expression by simple factorization methods.
Use alternative factoring methods: Since the quadratic expression cannot be factored using simple factorization, we can either complete the square or use the quadratic formula to check if it can be factored. However, the original question prompt asks for factoring, and if it cannot be factored using integers, we may conclude that the expression is prime (cannot be factored).