Question

What is the standard form of `y=(3x - 15)(x - 5)`?

Answer 1

Standard form is `y=3x^2-30x+75`

Explanation:

Standard form of quadratic polynomial with one variable is `y=ax^2+bx+c` Hence to convert `y=(3x−15)(x−5)`, one should expand the RHS.

`y=(3x−15)(x−5)=3x(x-5)-15(x-5)`

= `3x^2-15x-15x+75` or

= `3x^2-30x+75`