which value of b makes the trinomial a perfect square
Accepted Solution
A:
Answer:12Step-by-step explanation:Given trinomial is [tex]x^2-bx+36[/tex].Now we need to find the value of b that will make the trinomial [tex]x^2-bx+36[/tex] a perfect square.[tex]x^2-bx+36[/tex][tex]=x^2-bx+36[/tex][tex]=x^2-bx+6^2[/tex]compar with Β [tex]=a^2-2ab+b^2=(a-b)^2[/tex]. we get:a=x and b=6then middle term -2ab=-2(x)(6)=-12xcompare -12x with -bx, we get b=12Hence choice C. 12 is correct.