What is the standard form of #f(x)=(x+1)(x+3)+(-2x-1)^2 #?

1 Answer
Feb 27, 2016

The standard form of this equation is :
#f(x) = 5x^2 + 8x + 4#

Explanation:

The standard form of an equation should look like :
#f(x) = ax^2 + bx + c#

First, you have to develop the right member : #(x+1)(x+3)+(-2x-1)^2#

#[ (x*x)+(x*3)+(1*x)+(1*3)] + [ (-2x)^2 - 2*(-2x*1) + 1^2]#
Then, we can simplified it :
#[ x^2+3x+x+3] + [ 4x^2 + 4x + 1]#
#x^2+4x+3 + 4x^2 + 4x + 1#
#5x^2+8x+4#

So, #f(x) = 5x^2 + 8x + 4#