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Factor $-16x^4+x^2+2x+1$ into two quadratic polynomials with integer coefficients. Submit your answer in the form $(ax^2+bx+c)(dx^2+ex+f)$, with a

Thanks!

 Jun 9, 2019
edited by sinclairdragon428  Jun 9, 2019
 #1
avatar+102937 
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-16x^4 + x^2 + 2x + 1

 

x^2 + 2x + 1 - 16x^4   factor the first trinomialas a perfect square

 

(x + 1)^2   - 16x^4      factor as a difference of squares

 

[ (x + 1) - 4x^2 ] [ (x + 1) + 4x^2] 

 

[ -4x^2 + x + 1 ] [ 4x^2 + x + 1 ] 

 

 

 

 

cool cool cool

 Jun 9, 2019

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