Question

Re-write the quadratic function below in Standard Form
y = 6(x + 2)(x + 5)

Answer 1

In the standard form, we will have:
`\sf {6x}^(2)+42x+60`

Development

We have the function:

`\sf y = 6(x + 2)(x + 5)`

First, we must multiply the terms that are in parentheses. Applying distributive property.

`\sf y = 6(x\cdot x+x\cdot5+2\cdot x+2\cdot5)`

We will perform the multiplication.

`\sf y = 6({x}^(2)+5x+2x+10)`

We will perform the indicated operation.

`\sf y = 6({x}^(2)+7x+10)`

Now, we can multiply the number 6 by what is in parentheses. Also applying distributive property.

`\sf 6{x}^(2)+42+60`

Conclusion

The answer of this function is:

`\boxed{\boxed{\sf 6{x}^(2)+42+60}}`

Answer 2

The answer is y = 6x² + 42x + 60

Explanation:

y = 6(x + 2)(x + 5)

y = 6 × (x + 2) × (x + 5)

y = 6 × (x² + 5x + 2x + 10)

y = 6 × (x² + 7x + 10)

y = 6x² + 42x + 60

Thus, The answer is y = 6x² + 42x + 60

-TheUnknownScientist