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You represent a generic trinomial with some letters, then just carry out the desired operations. The general rule to multiply polynomials is that each term in one polynomial must be multiplied by each term in the other polynomial. For example, to multiply a trinomial by itself - i.e., square it - you get:
(a + b + c) (a + b + c)
= a2 + ab + ac + ab + b2 + bc + ac + bc + c2
Next, you can group similar terms; well, I'll leave that to you.
What else can I help you with?
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 -
How do you factor the trinomial 6p2-3p-2?
That trinomial is unfactorable (the roots are not integers).
How do you get the product of binomial and trinomial?
You multiply each element of the binomial into each element of the trinomial and then combine like terms. For example, (ax + b)*(cx2 + dx + e) = acx3 + adx2 + aex + bcx2 + bdx + be = acx3 + (ad + bc)x2 + (ae + bd)x + be
What is Special product in algebra?
7i8
Special cases of the product of trinomial and binomial?
(w - 1)2
What special product results to a perfect square trinomial?
A perfect square trinomial results from squaring a binomial. Specifically, when a binomial of the form ( (a + b) ) or ( (a - b) ) is squared, it expands to ( a^2 + 2ab + b^2 ) or ( a^2 - 2ab + b^2 ), respectively. Both forms yield a trinomial where the first and last terms are perfect squares, and the middle term is twice the product of the binomial’s terms.
When a trinomial is factored as (x m)(x n) what is the product of m and n?
It is the constant term of the trinomial.
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
The product of p and q is the of the last term of a trinomial?
constant.
If you multiply a trinomial by a monomial what type of polynomial will the product be?
binomal
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 -
Which part of the trinomial will equal the product of p and q?
The answer depends on what p and q are!
Is the third term in a factorable trinomial equal to the product of the constants in its binomial factors?
Yes it is
How to get product of binomial and trinomial?
To find the product of a binomial and a trinomial, use the distributive property (also known as the FOIL method for binomials). Multiply each term in the binomial by each term in the trinomial. For example, if you have a binomial ( (a + b) ) and a trinomial ( (c + d + e) ), you would calculate ( a(c + d + e) + b(c + d + e) ), which results in ( ac + ad + ae + bc + bd + be ). Finally, combine like terms if necessary.
What is the meaning of factor of perfect square trinomial?
A factor of a perfect square trinomial is eithera number that is a factor of each term of the trinomial,a binomial that is a factor of the trinomial, ora product of the above two.For example, consider 4x2 + 8x + 4It has the factors2 or 4,(x + 1) or2x+2 = 2*(x+1) or 4x+4 = 4*(x+1)
What is the sum of 3 monomials?
A trinomial is the sum of three monomials, any more than that does not have a special name
