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The algebraic sum of a and b is the coefficient of the middle term - the term for x.
Incidentally, the algebraic sum is the sum of a and b which takes account of their signs.
The constant term of the trinomial
Ax + Bx + C is not a trinomial!
A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.
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)
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
The constant term of the trinomial
B. 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.
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
Ax + Bx + C is not a trinomial!
A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.
No.
Here are the steps to factoring a trinomial of the form x2 + bx + c , with c > 0 . We assume that the coefficients are integers, and that we want to factor into binomials with integer coefficients.Write out all the pairs of numbers which can be multiplied to produce c .Add each pair of numbers to find a pair that produce b when added. Call the numbers in this pair d and e .If b > 0 , then the factored form of the trinomial is (x + d )(x + e) . If b < 0 , then the factored form of the trinomial is (x - d )(x - e) .Check: The binomials, when multiplied, should equal the original trinomial.Note: Some trinomials cannot be factored. If none of the pairs total b , then the trinomial cannot be factored.
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)
The sum of two cubes can be factored as below.a3 + b3 = (a + b)(a2 - ab + b2)
Suppose the trinomial is x2 + Bx + C You need to find a factor pair of C whose sum is B. If the factors are p and q (that is, pq = C and p+q = B), then the trinomial can be factorised as (x + p)*(x + q).
The sum of two squares cannot be factored. If that's -a^2 + b^2, that's b^2 - a^2, which factors to (b - a)(b + a)