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Re-write the quadratic function below in Standard Form

y=6(x+1)(x+3)
Answer: 
y=

Re-write the quadratic function below in Standard Form\newliney=6(x+1)(x+3) y=6(x+1)(x+3) \newlineAnswer: y= y=

Full solution

Q. Re-write the quadratic function below in Standard Form\newliney=6(x+1)(x+3) y=6(x+1)(x+3) \newlineAnswer: y= y=
  1. Expand Binomials: Expand the first binomial (x+1)(x+1) with the second binomial (x+3)(x+3).(x+1)(x+3)=x(x+3)+1(x+3)(x+1)(x+3) = x(x+3) + 1(x+3)=x2+3x+x+3= x^2 + 3x + x + 3=x2+4x+3= x^2 + 4x + 3
  2. Multiply Expanded Binomial: Now, multiply the entire expanded binomial by 66 to get the quadratic function in standard form.\newliney=6(x2+4x+3)y = 6(x^2 + 4x + 3)\newline=6x2+24x+18= 6x^2 + 24x + 18

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