-12
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 ).
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).
To determine the value of ( b ) that makes the trinomial a perfect square, you typically want to express the trinomial in the form ( (x + a)^2 ), which expands to ( x^2 + 2ax + a^2 ). By comparing coefficients, if the trinomial is in the form ( x^2 + bx + c ), you can set ( b = 2a ) and ( c = a^2 ). Thus, you can solve for ( b ) given specific values of ( a ) or ( c ). If you have a specific trinomial in mind, please provide it for precise calculations.
(x - 6)(x - 3)
(x - 6)(x - 9)
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
64
TrUE
True
144
48
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 ).
None does, since there is no polynomial below.
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).
x2 + 22x + 121 to get this divide 22 by 2... then square the answer you get from that 22/2 = 11 112 = 121
False. It has to be either "- 24x" or "+ 36". These would factor as (3x - 4)2 and (3x - 6)2 respectively.
(x+8)(x-5)