Factor the polynomial x^2 + 5x + 6 completely.?
回答 (7)
2010-05-27 3:12 pm
✔ 最佳答案
x^2 + 5x + 6= (x + 3)(x + 2)
Notes:
- first terms are factors of x^2......x and x
- second terms are factors of 2, when you multiply them you get 6 (last term) and when you add them, you get 5 (middle term).........3 and 2
2010-05-27 3:28 pm
x^2 + 5x + 6
= x^2 + 3x + 2x + 6
= (x^2 + 3x) + (2x + 6)
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
= x^2 + 3x + 2x + 6
= (x^2 + 3x) + (2x + 6)
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
2010-05-27 3:19 pm
What are two numbers that multiply to six but add to 5? 3 and 2:
(x + 2)(x + 3)
Have a great day :-)
(x + 2)(x + 3)
Have a great day :-)
2010-05-27 3:14 pm
Okay,
when factorizing polynomials of this form, 1 simple rule helps.
Look for 2 numbers that add to give the middle term and multiply to give the 3rd term
in this case it is 2 and 3 and your factorized eqn is as such:
(x+2)(x+3)
hope this helps
when factorizing polynomials of this form, 1 simple rule helps.
Look for 2 numbers that add to give the middle term and multiply to give the 3rd term
in this case it is 2 and 3 and your factorized eqn is as such:
(x+2)(x+3)
hope this helps
2010-05-27 3:13 pm
x^2 + 5x + 6
=x^2+3x+2x+6
=x(x+3)+2(x+3)
=(x+3)(x+2)
=x^2+3x+2x+6
=x(x+3)+2(x+3)
=(x+3)(x+2)
2010-05-27 3:12 pm
x^2 + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 2) (x + 3)
= x(x + 3) + 2(x + 3)
= (x + 2) (x + 3)
2010-05-27 3:11 pm
(x + 2)(x + 3)
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