Question

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

Answer 1

Answer:

The answer is y = 6x² + 42x + 60

Step-by-step 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

Answer 2

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:

$\boxed{\boxed{\sf 6{x}^{2}+42+60}}$