Is it possible to factor $y = 3 x^{3} + 4 x^{2} - 75 x - 100$ $y=3x^3+4x^2-75x-100$ ? If so, what are the factors?

Question

Is it possible to factor $y = 3 x^{3} + 4 x^{2} - 75 x - 100$ $y=3x^3+4x^2-75x-100$ ? If so, what are the factors?

1 Answer

Impact of this question

2586 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-28T20:02:08

#(3x+4)(x-5)(x+5)

Explanation:

group the function into 2 'pairs' as follows.

$[3 x^{3} + 4 x^{2}] + [- 75 x - 100]$ $[3x^3 + 4x^2 ] + [ -75x - 100 ]$

now factor each pair ( common factor )

1st pair : $x^{2} (3 x + 4)$ $x^2(3x+4)$

2nd pair : -25(3x+4)

There is a common factor of (3x+4) in each pair.

hence: (3x+4)( $x^{2} - 25)$ $x^2-25)$

$now x^{2} - 25 is a difference of squares$ $"now " x^2 - 25 " is a difference of squares "$

which factors as (x-5)(x+5)

$hence factors are (3 x + 4) (x - 5) (x + 5)$ $" hence factors are " (3x+4)(x-5)(x+5)$

Science

Math

Humanities

... and beyond

Is it possible to factor $y = 3 x^{3} + 4 x^{2} - 75 x - 100$ $y=3x^3+4x^2-75x-100$ ? If so, what are the factors?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Is it possible to factor y=3x3+4x2−75x−100y=3x^3+4x^2-75x-100 ? If so, what are the factors?

1 Answer

Explanation:

Related questions

Impact of this question

Is it possible to factor $y = 3 x^{3} + 4 x^{2} - 75 x - 100$ $y=3x^3+4x^2-75x-100$ ? If so, what are the factors?