0
Do you mean some thing like 4x2 - 28xy + 49y2 ?
notice 4x2 = (2x)2 and 49y2 = either (7y)2 or (-7y)2 (1st and last terms must be squares) and the middle term is 2(2x)(-7y) (2 times sq root of 1st times sq root of last)
Once the pattern is recognized:
(sq root 1st + sqroot 2nd)2 or (sq root 1st - sqroot 2nd)2 depending on if middle term is positive or negative.
So, back to my example:
4x2 - 28xy + 49y2 = (2x - 7y)2 because middle is negative.
Simpler example factor x2 + 6x + 9. 1st and last are both squares
sq root of 9 = 3 3 times 2 = 6 that fits the middle
so x2 + 6x + 9 = (x + 3)2
What else can I help you with?
How do you factor a trinomial that equals zero?
just like factoring any other trinomial.
Factor the trinomial and enter your answer in the box below Write each factor as a polynomial in descending order?
It's not enough to copy the question off the test. If you don't tell us what the trinomial is, we can't factor it for you.
Which of the binomial below is factor of this trinomial t2-12t-45?
(t - 15)(t + 3)
When you factor out -1 from a trinomial?
just make the trinomial easier to factor. ex -x2 + 3x + 4 ... most books don't teach you how to factor when a leading term is negative. ... so -1(x2- 3x- 4) ... now factor again ignoring the -1 -1(x - 4)(x + 1)
How do you factor the trinomial x2 plus 19x?
That's not a trinomial, but it factors to x(x + 19)
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)
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
How do you factor perfect square trinomials?
A perfect trinomial must be of the form a2x2 ± 2abxy + b2y2 and this factorises to (ax ± by)2.
What are the 5 kinds of factoring?
the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.
Factor perfect square trinomial x2 plus 6x plus 9?
(x + 3)(x + 3)
What are the factor of this perfect square trinomial p2-18p plus 81?
(p - 9)(p - 9)
Are all trinomial are perfect square?
No.
How do you factor the trinomial 6p2-3p-2?
That trinomial is unfactorable (the roots are not integers).
How do you factor a trinomial that equals zero?
just like factoring any other trinomial.
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.
The binomial y15-8z9 can be factored into a binomial and a trinomial what is the trinomial factor?
(y10 + 2y5z3 + 4z6)
In which situation would you factor out -1 from a trinomial?
You would factor out -1 (a) from a trinomial in an equation such as -a^2 +30a - 2a + 60 after the middle term has been separated. The final answer of this trinomial would then be (a-30) (a-30).
