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The constant term of the trinomial

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Can a trinomial x2 plus bx plus c where b and c are integers be factored with integer coefficients if its discriminant is 35?

No.


When factoring a trinomial that is in the format Ax2 Bx C the number that is represented by B should be viewed as the?

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.


When factoring a trinomial that is in the format ax plus bx plus c the number that is represented by b should be viewed as what?

B. Sum of two numbers


What is a perfect square trinomial and how is it factored?

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


When factoring a trinomial that is in the format Ax2 plus Bx plus c the number that is represented by B should be viewed as the what?

sum of two numbers


When a trinomial is factored as (x a)(x b) what is the sum of a and b?

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.


When do you say that a trinomial is a perfect square?

A trinomial is perfect square if it can be factored into the form (a+b)2 So a2 +2ab+b2 would work.


How can you factor- a squared plus b squared?

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)


What is 2a plus 2b in factored form?

2(a+b) is 2a plus 2b in factored form.


How do you factor polynomials into binomials and trinomials?

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.


When factoring a trinomial that is in the format ax2 plus bx c the number that is represented by B should be viewed as the?

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


Factor a cubed plus B-Cubed?

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.