Question

2x^3-5x^2-14x+8 factorise

Answer 1

The factorization of (2x³ - 5x² - 14x + 8) is (x + 2)(x - 4)(2x - 1)

Step-by-step explanation:

We have to factorize the following cubic expression.

It is 2x³ - 5x² - 14x + 8

Now, the expression vanishes to become zero if we put x = - 2

So, (x + 2) will be a factor of the expression.

Now, 2x³ - 5x² - 14x + 8

= 2x³ + 4x² - 9x² - 18x + 4x + 8

=  2x²(x + 2) - 9x(x + 2) + 4(x + 2)

= (2x² - 9x + 4)(x + 2)

= (x + 2)(2x² - 8x - x + 4)

= (x + 2)[2x(x - 4) - 1(x - 4)]

= (x + 2)(x - 4)(2x - 1)

Therefore, the factorization of (2x³ - 5x² - 14x + 8) is (x + 2)(x - 4)(2x - 1)(Answer)

Answer 2

Answer:

so the answer is x=-2 , x=4 , x=1/2