Re-write the quadratic function below in Standard Form y=2(x+9)(x-5) Answer: y=

Combine like terms: Now, we will simplify the expression by combining like terms. y = 2(x^2 - 5x + 9x - 45) y = 2(x^2 + 4x - 45)Distribute the 2: Next, we distribute the 2 across each term inside the parentheses. y = 2(x^2) + 2(4x) - 2(45) y = 2x^2 + 8x - 90Standard form: The quadratic function is now in standard form, which is y = ax^2 + bx + c. Therefore, the standard form of the given quadratic function is y = 2x^2 + 8x - 90.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Re-write the quadratic function below in Standard Form

y=2(x+9)(x-5)
Answer:
y=

Re-write the quadratic function below in Standard Form $\newline$ $y=2(x+9)(x-5)$ $\newline$ Answer: $y=$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

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

\newline

y=2(x+9)(x-5)

\newline

Answer:

y=

Combine like terms: Now, we will simplify the expression by combining like terms. $\newline$ $y = 2(x^2 - 5x + 9x - 45)$ $\newline$ $y = 2(x^2 + 4x - 45)$
Distribute the $2$ : Next, we distribute the $2$ across each term inside the parentheses. $\newline$ $y = 2(x^2) + 2(4x) - 2(45)$ $\newline$ $y = 2x^2 + 8x - 90$
Standard form: The quadratic function is now in standard form, which is $y = ax^2 + bx + c$ . $\newline$ Therefore, the standard form of the given quadratic function is $y = 2x^2 + 8x - 90$ .