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

Apply Distributive Property: First, apply the distributive property (also known as the FOIL method) to expand the product of the binomials (x - 4) and (x + 3). y = -8(x - 4)(x + 3) y = -8[(x)(x) + (x)(3) - (4)(x) - (4)(3)]Perform Multiplication: Next, perform the multiplication for each term. y = -8[x^2 + 3x - 4x - 12] Combine like terms (3x and -4x) within the brackets. y = -8[x^2 - x - 12]Combine Like Terms: Now, distribute the -8 across each term inside the brackets. y = -8(x^2) - 8(-x) - 8(-12) y = -8x^2 + 8x + 96Distribute -8: The quadratic function is now in standard form, which is y = ax^2 + bx + c. So, the standard form of the given quadratic function is y = -8x^2 + 8x + 96.

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Re-write the quadratic function below in Standard Form

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

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

\newline

Answer:

y=

Apply Distributive Property: First, apply the distributive property (also known as the FOIL method) to expand the product of the binomials $(x - 4)$ and $(x + 3)$ . $y = -8(x - 4)(x + 3)$ $y = -8[(x)(x) + (x)(3) - (4)(x) - (4)(3)]$
Perform Multiplication: Next, perform the multiplication for each term. $\newline$ $y = -8[x^2 + 3x - 4x - 12]$ $\newline$ Combine like terms ( $3x$ and $-4x$ ) within the brackets. $\newline$ $y = -8[x^2 - x - 12]$
Combine Like Terms: Now, distribute the $-8$ across each term inside the brackets. $\newline$ $y = -8(x^2) - 8(-x) - 8(-12)$ $\newline$ $y = -8x^2 + 8x + 96$
Distribute $-8$ : The quadratic function is now in standard form, which is $y = ax^2 + bx + c$ . $\newline$ So, the standard form of the given quadratic function is $y = -8x^2 + 8x + 96$ .