Question 986972
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a)  Is  {{{y}}} = {{{x^2 + 7x + 12}}}  a quadratic equation? 


       - No,  it is not a quadratic equation. 

        It is a quadratic function with a quadratic polynomial in the right hand side. 


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It <I><U>would be</U></I> a quadratic equation, &nbsp;if it is written in the form  &nbsp;{{{x^2 + 7x + 12}}} = {{{0}}}. 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Then you can solve it by using the quadratic formula or factoring. 


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The roots of this quadratic equation, &nbsp;{{{x^2 + 7x + 12}}} = {{{0}}}, &nbsp;are &nbsp;x=-3 &nbsp;and &nbsp;x=-4. 


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You can factor the quadratic polynomial &nbsp;{{{x^2 + 7x + 12}}}&nbsp; in the form &nbsp;{{{x^2 + 7x + 12}}} = (x+3)*(x+4). 


The meaning of this explanation is: &nbsp;<B><U>use the words and the mathematical terminology correctly</U></B>!