6.25
81.
26
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.
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
A local minimum.
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
None does, since there is no polynomial below.
49
49
38
64
-12
144
(b/2)^2= 64
48
There are infinitely many possible answers: c = ±4x + 33
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 ).