SOLUTION: Please factor completely. If the polynomial is prime, state this. y^2 + 0.2y - 0.15

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Question 168024This question is from textbook Introductory Algebra
: Please factor completely. If the polynomial is prime, state this.
y^2 + 0.2y - 0.15
This question is from textbook Introductory Algebra

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
y^2 + 0.2y - 0.15
I assume you want to factor this quadratic.
y = [-0.2 +- sqrt(0.04 - 4*1*-0.15)]/2
y = [-0.2 +- sqrt(0.64)]/2
y = [-0.2 +- 0.8)]/2
y = [-0.2 + 0.8]/2
y = [0.6]/2 = 0.3
or
y = [-0.2-0.8]/2
y = [-1]/2 = -0.5
--------------------
Since these are the roots, the factors are:
(y-0.3)(y+0.5)
==================
Cheers,
Stan H.

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