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Is the third term in a factorable trinomial equal to the product of the constants in its binomial factors?
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If the constant term in the factoring of a trinomial is positive then the signs in both binomial factors will be negative?
Not necessarily. They could both be positive.
What is an unfactorable polynomial?
If after finding all the factors of the product of the highest term's coefficient and the linear term, none of the can add or subtract to give the middle term then it is not factorable. x^2 +5x+6 is factorable. 1x6; 2x3 2+3=5 so it can be factored. x^2+7x+6 is factorable but x^2+8x+6 is NOT factorable because 1 and 6 as well as 2 and 3 can't add up to the middle term.
When factoring a trinomial how do you know if the two factors will both have plus signs both minus signs and when there will be one of each?
-- If the last term of the trinomial ... the one that's just a number with no 'x' ... is positive, then both factors have the same sign as the middle term of the trinomial. -- If the last term is negative, then the factors have different signs. If this was never pointed out in class, well, it should have been.
What are the factors of this quadratic trinomial 5x2-8x-4?
(5x+2) and (x-2)
Which of the following is one of the two binomial factors of 6s2 40s - 64?
it is 3s - 4
What is similar about a perfect square trinomial and a difference of two squares?
Each has two binomial factors.
If the constant term in the factoring of a trinomial is positive then the signs in both binomial factors will be negative?
Not necessarily. They could both be positive.
What is a number written as a product of its factors called?
two factors is a binomial three factors is a trinomial four of more is a polynomial the product of any of these is just a polynomial
Which of the binomials below is a factor if this trinomial x2 plus 6x-40?
You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)
When the factors of a trinomial are (x - p) and (x - q) then the coefficient of the x-term in the trinomial is?
It is 1 if the two are the only factors.
What is 75 factorable?
The factors of 75 are: 1, 3, 5, 15, 25, 75.
When the factors of a trinomial are (x-p) and (x q) then the constant term of the trinomial is?
The sum of -p and -q -
When the factors of a trinomial are (x p) and (x q) then the constant term of the trinomial is?
The sum of -p and -q -
Can a trinomial be factored or is it a prime?
[ x3 + 3x2 + 2x ] is a trinomial. It's factors are [ x, (x + 1), (x + 2) ] .
When the factors of a trinomial are (x p) and (x q) then the coefficient of the x-term in the trinomial is?
The sum of p and q
When the factors of a trinomial are x p and x q then the constant term of the trinomial is?
The sum of -p and -q -
Can a trinomial have two identical factors?
Yes. Consider the trinomial x2 + 2x + 4. It can be factored as (x+2)(x+2), that is to say, it has two identical factors of (x+2).
