Question

Mid term spilt of the following
• 4x^2 + 5√2x -3
• x^2 - 1/6 x -2
• 7x^2 - 1/6 - 2

Answer 1

Question:

Factorize the following quadratic polynomials using middle term splitting method ;

1). 4x² + 5√2x - 3

2). x² - (1/6)x - 2

3). 7x² - (1/6)x - 2

Answer:

1). (√2x + 3)(2√2x - 1)

2). (√2x + 3)(2√2x - 1)

OR

(x/3 - 1/2)(3x + 4)

OR

(2x - 3)(x/2 + 2/3)

3). Can't be factorized using middle term splitting method.

Solution:

1). 4x² + 5√2x - 3

=> 4x² + 6√2x - √2x - 3

=> 2√2x(√2x + 3) - (√2 + 3)

=> (√2x + 3)(2√2x - 1)

2). x² - (1/6)x - 2

=> x² - x/6 - 2

=> (6x² - x - 12)/6

=> (1/6)•(6x² - x - 12)

=> (1/6)•(6x² - 9x + 8x - 12)

=> (1/6)•[3x(2x - 3) + 4(2x - 3)]

=> (1/6)•(2x - 3)(3x + 4)

OR

=> (x/3 - 1/2)(3x + 4)

OR

=> (2x - 3)(x/2 + 2/3)

3). 7x² - (1/6)x - 2

Can't be factorized using middle term splitting method.