What is the standard form of $y = {(5 x + 2)}^{2} + 11 (5 x + 2) + 30$ $y= (5x+2)^2 + 11(5x+2)+30$ ?

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Answer 1 · 2016-05-06T23:03:17

Standard form of a quadratic is $a x^{2} + b x + c$ $ax^2 + bx+ c$

This expression can be considered as being in standard form already, if you let $(5 x + 2) = m$ $(5x + 2) = m$

It then becomes $y = m^{2} + 11 m + 30$ $y = m^2 + 11m + 30$

However, if you multiply out and simplify it becomes:

$y = 25 x^{2} + 75 x + 56$ $y = 25x^2 + 75x+ 56$

What is the standard form of y=(5x+2)2+11(5x+2)+30 y= (5x+2)^2 + 11(5x+2)+30 ?