Worksheet: Splitting the middle term

Instructions on how to solve the questions: 

The following steps are the general steps to follow when factoring a quadratic expression:

1. Rewrite it in the standard (or general) form
2. Find the master product
3. Split the middle term into two parts whose product equals the master product
4. Rewrite the quadratic expression with the two parts in place of the middle term
5. Group the four termed quadratic so formed into two groups, watch containing two terms
6. Factor out the common factors from each group
7. Find the common factor between the two groups and factor it out

The above method will help factor any non prime quadratic expression into a product
of two linear expressions

Exercise:

5x2 + 3x - 2		(x + 1)(5x - 2)
14x2 + 9x + 1		(2x + 1)(7x + 1)
√3x2 + 4x + √3		(√3x + 1)(x + √3)
6p2 + 11p - 10		(2p + 5)(3p - 2)
3x2 - 12x - 135		3(x - 9)(x + 5)
x2 - 4x - 12		(x - 6)(x + 2)
2x2 - 8x - 24		2(x - 6)(x + 2)
21x2 - 8x - 4		(3x - 2)(7x + 2)
2x2 + x - 6		(x + 2)(2x - 3)
2x2 + 5x - 3		(x + 3)(2x - 1)