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what must be the numerical coefficient of x in 4x 2+_x+36 to make it perfect square trinomial?



Sagot :

Taking the square-root of the coefficients:
 
For the first term (4x^2), we get 2x

And for the last term (36), we get 6

Therefore the polynomial that we will square is (2x+6)

Taking (2x+6)^2
=4x^2 + (2*2x*6) +36
=4x^2 + 24x +36