[Gwyneth factors x^3 - 8x^2 + 15x as (x^2 - 5x)(x - 3). Is she wrong? Why or why not? What advice would you offer?] First let's answer the question posed by the textbook. After we finish with #65, let's work on #67. [Without multiplying (x - 17)(x - 18), explain why it cannot possibly be a factorization of x^2 + 35x + 306.] Can x^2 +35x + 306 even be factored?
2006-10-03 05:13:58 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
How many questions are you going to ask here? The answer to the first question is No, she is not wrong.
2006-10-03 05:22:00 · answer #1 · answered by Fall Down Laughing 7 · 1⤊ 0⤋
Gwyneth's factorisation is not complete. There is
a common factor of x in the first factor, so the
complete factorisation is x(x-5)(x-3).
For the second question, use the FOIL rule.
The sum of the O + I terms is -35, not +35.
For the last question: Yes. The factors
are (x+17) and (x+18).
If you want to check whether a quadratic like this
one factors over the integers, compute the
discriminant. If it is a rational square, we can
factor the quadratic over the integers. Here the discriminant
is 35^2-4(306) = 1, so a factorisation is possible.
2006-10-03 06:32:56 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋
This Is Quite Difficult n I Think Not Of My Level I m In 10th Right Now..????I Dont Think I Can Solve This
2006-10-04 00:05:57 · answer #3 · answered by tweetie_pie_ashley 3 · 0⤊ 0⤋
in which classu r in?
2006-10-03 05:20:55 · answer #4 · answered by Neha 3 · 0⤊ 1⤋