Re-write the quadratic function below in Standard Form y=-4(x-8)(x+3) Answer: y=

Expand Quadratic Function: Expand the quadratic function using the distributive property (also known as the FOIL method for binomials). We need to multiply each term in the first binomial by each term in the second binomial. y = -4(x - 8)(x + 3) y = -4[(x)(x) + (x)(3) - (8)(x) - (8)(3)]Perform Multiplication of Terms: Perform the multiplication for each pair of terms. y = -4[x^2 + 3x - 8x - 24] Combine like terms within the brackets. y = -4[x^2 - 5x - 24]Combine Like Terms: Distribute the -4 across each term inside the brackets. y = -4(x^2) -4(-5x) -4(-24) y = -4x^2 + 20x + 96

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Re-write the quadratic function below in Standard Form

y=-4(x-8)(x+3)
Answer:
y=

Re-write the quadratic function below in Standard Form $\newline$ $y=-4(x-8)(x+3)$ $\newline$ Answer: $y=$

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Algebra 1

Multiply two binomials

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Q. Re-write the quadratic function below in Standard Form

\newline

y=-4(x-8)(x+3)

\newline

Answer:

y=

Expand Quadratic Function: Expand the quadratic function using the distributive property (also known as the FOIL method for binomials). $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $y = -4(x - 8)(x + 3)$ $\newline$ $y = -4[(x)(x) + (x)(3) - (8)(x) - (8)(3)]$
Perform Multiplication of Terms: Perform the multiplication for each pair of terms. $\newline$ $y = -4[x^2 + 3x - 8x - 24]$ $\newline$ Combine like terms within the brackets. $\newline$ $y = -4[x^2 - 5x - 24]$
Combine Like Terms: Distribute the $-4$ across each term inside the brackets. $\newline$ $y = -4(x^2) -4(-5x) -4(-24)$ $\newline$ $y = -4x^2 + 20x + 96$