Question

check 3 and -2 are the zeros of the polynomial x2 - x- 6 or not. friends tell me fast ​

Answer 1

To check :

Whether 3 and (-2) are zeros of x² - x - 6 = 0

SOLUTION :

Given , p(x) = x² - x - 6

If 3 and -2 are zeros of given polynominal then

p(3) and p(-2) must be zero

Therefore we will find p(3) and p(-2)

• p(3)

p(3) = (3)² - (3) + 6

p(3) = 9 - 3 - 6

p(3) = 9 - 9

p(3) = 0

As p(3) = 0 ,

3 is zero of x² - x - 6

• p(-2)

p(-2) = (-2)² - (-2) - 6

p(-2) = 4 + 2 - 6

p(-2) = 6 - 6

p(-2) = 0

As p(-2) = 0,

(-2) os zero of x² - x - 6

Therefore , both 3 and -2 are zeros of polynomial x² - x - 6

Answer 2

Answer:

Step-by-step explanation:

If 3 and -2 are zeros of given polynominal then

p(3) and p(-2) must be zero

Therefore we will find p(3) and p(-2)

p(3)

p(3) = (3)² - (3) + 6

p(3) = 9 - 3 - 6

p(3) = 9 - 9

p(3) = 0

As p(3) = 0 ,

3 is zero of x² - x - 6

p(-2)

p(-2) = (-2)² - (-2) - 6

p(-2) = 4 + 2 - 6

p(-2) = 6 - 6

p(-2) = 0

As p(-2) = 0,

(-2) os zero of x² - x - 6

Therefore , both 3 and -2 are zeros of polynomial x² - x - 6