x2 + 22x + 121
to get this divide 22 by 2... then square the answer you get from that
22/2 = 11
112 = 121
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
64
TrUE
True
No, it isn't. It would be, if that "36" in the middle were "24" instead.
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
64
To make the polynomial ( x^2 - 28x + ? ) a perfect square trinomial, we need to find the value that completes the square. The formula for a perfect square trinomial is ( (x - a)^2 = x^2 - 2ax + a^2 ). Here, ( a ) is half of the coefficient of ( x ), which is ( -28 ). Thus, ( a = 14 ), and we need ( a^2 = 196 ). Therefore, the value in place of the question mark is ( 196 ).
144
48
To form a perfect square trinomial from the expression (x^2 + 26x + ?), we need to find the constant that completes the square. The formula for a perfect square trinomial is ((x + a)^2 = x^2 + 2ax + a^2). Here, (2a = 26) gives (a = 13), so (a^2 = 169). Therefore, the value that replaces the question mark is (169).
64
-12
A trinomial is perfect square if it can be factored into the form
TrUE
True
(b/2)^2= 64