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.
-12
64
The answer will depend on what c is!If the trinomial is ax^2 + bx + c then the required value of c is (b^2)/(4a)
To make the expression (x^2 + 26x + A) a perfect square trinomial, we need to find the value of (A) that completes the square. The formula for a perfect square trinomial is ((x + b)^2 = x^2 + 2bx + b^2). In this case, we have (2b = 26), so (b = 13). Thus, (A) must be (b^2 = 13^2 = 169). Therefore, the value of (A) is 169.
(b/2)^2= 64
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
64
-12
144
64
48
81.
The answer will depend on what c is!If the trinomial is ax^2 + bx + c then the required value of c is (b^2)/(4a)
x2 + 22x + 121 to get this divide 22 by 2... then square the answer you get from that 22/2 = 11 112 = 121
To make the expression y^2 + 8y + c a perfect square trinomial, we need to find the value of c that completes the square. The formula to complete the square is (b/2)^2, where b is the coefficient of the y-term, which is 8 in this case. So, (8/2)^2 = 16. Therefore, the value of c that makes the trinomial a perfect square is 16.
(b/2)^2= 64
None does, since there is no polynomial below.