what value of g makes the equation true?\n(x + 7)(x - 4)=x^{2}+gx - 28
what value of g makes the equation true?\n(x + 7)(x - 4)=x^{2}+gx - 28
Answer
Explanation:
Step1: Expand left - hand side
Use FOIL method: $(x + 7)(x - 4)=x\times x+x\times(-4)+7\times x + 7\times(-4)=x^{2}-4x + 7x-28=x^{2}+3x-28$.
Step2: Compare coefficients
Since $(x + 7)(x - 4)=x^{2}+gx-28$ and $(x + 7)(x - 4)=x^{2}+3x-28$, then $g = 3$.
Answer:
3