Question

Obtain all the zeroes of x4 +2x3-7x2-8x+12,if two of its zeroes are 2and - 2.​ Very Urgent

Answer 1

Answer:

-3, 1

Step-by-step explanation:

since, 2 of its zeros are 2 and -2, therefore, the factors off the polynomial are :

(x-2) and (x+2)

Also, the product of the factors will be a factor.

so, (x-2)(x+2) = x2-4

Now, using long division, the quotient will be :

x2 + 2x - 3

now, we will factorise this using middle term splitting. Quadratic formula can also be used.

x2 + 2x -3

x2 - x + 3x - 3

x( x - 1) + 3( x - 1)

(x + 3) ( x - 1)

x = -3, 1

therefore, the the other zeros are -3 and 1