Question

show that 3 is a zero of polynomial 2x3-x2-13x-6 hence find all zeros of this polynomial

Answer 1

Answer:

Step-by-step explanation:

Given::- 2x³ - x² - 13x - 6

Solution ::-

Putting value of x as 3 to check whether 3 is the zero.

2x³ - x² - 13x - 6

2(3)³ - (3)² - 13(3) - 6

= 2(27) - (9) - 39 - 6

= 54 - 9 - 45

= 54 - 54

= 0

Therefore, 3 is the root of given equation.

Now x = 3 . so, x - 3 = 0

Dividing the given equation by x-3 =0