The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.
The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.
The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.
The answer will depend on what c represents. Furthermore, there probably is no value of c such that each expression is a perfect square - you will need different values of c for different trinomials.
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
64
x2 + 22x + 121 to get this divide 22 by 2... then square the answer you get from that 22/2 = 11 112 = 121
The first term must have an x value raised to an even root, such as x^2 or x^4. The middle term (if a trinomial) must be able to be made by adding together the factors of the coefficients of first and last terms. For example, x^2 +4x +4 can be factored into (x+2) x (x+2), or (x+2)^2
Under remarks idicate whether the expression is a perfect square or not
Yes, the expression (x^2 + kx + 36) is a perfect square trinomial if it can be expressed in the form ((x + a)^2). For it to be a perfect square, the constant term (36) must equal (a^2), which gives (a = 6). Therefore, for the expression to be a perfect square, (k) must equal (2a), resulting in (k = 12). Thus, when (k = 12), the expression becomes a perfect square trinomial: ((x + 6)^2).
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.
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
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).
81.
I'm going to go out on a limb and assume that y2 8y c actually means y^2 + 8y + c c = 16 makes a perfect square: (y + 4)^2 = (y+4)*(y+4) = y^2 + 8y + 16
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 ).
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)
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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
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