Use the quadratic equation: x = [-b +- sqrt(b^2-4ac)]/2a
The +- means you get two answers, one by adding, one by subtracting.
The coefficient of x
sum of two numbers
The general form of a quadratic expression is given as ax2+bx+c where "a" cannot equal zero and "b" is the coefficient of the variable "x" and also the sum of the factors of "c" when "a" is unity. Example: x2+5x+6 = (x+2)(x+3) when factored
In a word, yes. Any simplified form that has 3 terms is a trinomial, but is often in the form ax2 +bx +c where a,b,c are real numbers.
A trinomial is an equation of the form ax2 + bx + c. This is not just in statistics, it is in all of math and science. When they say trinomial, this is what they mean.
The coefficient of x
sum of two numbers
The number represented by B should be viewed as the coefficient of the linear term (x) in the trinomial. This number affects the middle term in the factored form of the trinomial.
The general form of a quadratic expression is given as ax2+bx+c where "a" cannot equal zero and "b" is the coefficient of the variable "x" and also the sum of the factors of "c" when "a" is unity. Example: x2+5x+6 = (x+2)(x+3) when factored
In a word, yes. Any simplified form that has 3 terms is a trinomial, but is often in the form ax2 +bx +c where a,b,c are real numbers.
A trinomial is an equation of the form ax2 + bx + c. This is not just in statistics, it is in all of math and science. When they say trinomial, this is what they mean.
1, 5 and 6 x^2 + 5x + 6 = (x + 2)(x + 3)
[ Ax2 + Bx + C ] is one example.
Write it in the form ax2 + bx + c. It is a perfect square if b2 = 4ac
A trinomial of the form ax2 + bx + c is a perfect square if (and only if) b2-4ac = 0 and, in that case, it is factored into a*(x + b/2a)2
This is the generalized trinomial equation (aka quadratic):y = ax2 - bx - cBefore factoring, always check the discriminant of the quadratic equation, which is:b2 - 4acIf it is a rational square (16, 25, 196, 225), then it is factorable. If it is not, then it is not factorable.In this case, it is not, since the discriminant is equal to 2√3.Now, you will have to use the quadratic formula:(-b2 +/- √(b2 - 4ac))/2This will give you (14 +/- 2√3)/2
A perfect square trinomial is looking for compatible factors that would fit in the last term when multiplied and in the second term if added/subtracted (considering the signs of each polynomials).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.