The constant term of the trinomial
sum of two numbers
Thanks to the rubbish browser which you are required to use for posting questions, we cannot see most mathematical symbols. It is, therefore, not possible to give an unambiguous answer.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.
A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.
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
When factored it is: 12(A+b)
No.
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.
B. Sum of two numbers
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
sum of two numbers
Thanks to the rubbish browser which you are required to use for posting questions, we cannot see most mathematical symbols. It is, therefore, not possible to give an unambiguous answer.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.
A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.
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)
2(a+b) is 2a plus 2b in factored form.
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 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 expression a^3 + b^3 can be factored using the sum of cubes formula, which states that a^3 + b^3 = (a + b)(a^2 - ab + b^2). Therefore, a^3 + b^3 can be factored as (a + b)(a^2 - ab + b^2). This formula helps us break down the sum of two cubes into a product of binomials, simplifying the expression.