Question

Y=3(x-2)(x-5) standard form?

Answer 1

• 3x² - 21x + 30

Explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

Answer 2

• y = 3x² - 21x + 30

Explanation:

Given is the factored form of a quadratic function.

The standard form is:

• y = ax² + bx + c

Open parenthesis to convert it into standard form:

• y = 3(x - 2)(x - 5)
• = 3(x² - 7x + 10)
• = 3x² - 21x + 30