How do you factor $x^{2} + 3 x - 5 x^{2} - 15$ $x^2 + 3x -5x^2 - 15$ ?

Question

How do you factor $x^{2} + 3 x - 5 x^{2} - 15$ $x^2 + 3x -5x^2 - 15$ ?

1 Answer

Impact of this question

1934 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-19T05:10:52

Please check the question?

$y = - 4 x^{2} + 3 x - 15 .$ $y = -4x^2 + 3x - 15.$

This trinomial can't be factored because D = b^2 - 4ac < 0.

The correct question should be: factor $y = x^{3} + 3 x - 5 x^{2} - 15 .$ $y = x^3 + 3x - 5x^2 - 15.$
To factor, group the first term and the second term together:

$y = x (x^{2} + 3) - 5 (x^{2} + 3) = (x^{2} + 3) (x - 5)$ $y = x(x^2 + 3) - 5(x^2 + 3) = (x^2 + 3)(x - 5)$

Check by developing: $y = x^{3} - 5 x^{2} + 3 x - 15 .$ $y = x^3 - 5x^2 + 3x - 15.$ OK

Science

Math

Humanities

... and beyond

How do you factor $x^{2} + 3 x - 5 x^{2} - 15$ $x^2 + 3x -5x^2 - 15$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor x2+3x−5x2−15x^2 + 3x -5x^2 - 15?

1 Answer

Related questions

Impact of this question

How do you factor $x^{2} + 3 x - 5 x^{2} - 15$ $x^2 + 3x -5x^2 - 15$ ?