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

Identify a, b, c: Identify a, b, and c in the quadratic expression 2k^2 + 9k + 7. Compare 2k^2 + 9k + 7 with ax^2 + bx + c. a = 2 b = 9 c = 7Find Multiplying Numbers: 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 that multiply to 14 (1 and 14, 2 and 7), we see that none of these pairs add up to 9. This means we cannot factor the quadratic expression by simple inspection or by using integer pairs.Quadratic Formula or Completing Square: Since the quadratic expression cannot be factored using integer pairs, we will attempt to factor it using the quadratic formula or completing the square. However, since the original question prompt asks for factoring, we must conclude that the quadratic expression 2k^2 + 9k + 7 cannot be factored over the integers.

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Algebra 1

Factor quadratics with other leading coefficients

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Q. Factor.

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2k^2 + 9k + 7

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $2k^2 + 9k + 7$ . Compare $2k^2 + 9k + 7$ with $ax^2 + bx + c$ . $a = 2$ $b$ $0$ $b$ $1$
Find Multiplying Numbers: 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 that multiply to $14$ ( $1$ and $14$ , $2$ and $7$ ), we see that none of these pairs add up to $9$ . $\newline$ This means we cannot factor the quadratic expression by simple inspection or by using integer pairs.
Quadratic Formula or Completing Square: Since the quadratic expression cannot be factored using integer pairs, we will attempt to factor it using the quadratic formula or completing the square. However, since the original question prompt asks for factoring, we must conclude that the quadratic expression $2k^2 + 9k + 7$ cannot be factored over the integers.