Question

SOLVE: x ^ 4 - 3 x² = 4

Answer 1

Answer:

The first term is, x^4 its coefficient is 1 .

The middle term is, -3x^2 its coefficient is -3 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1

x4 - 4x^2 + 1x^2 - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

x^2 • (x^2-4)

Add up the last 2 terms, pulling out common factors :

1 • (x^2-4)

Step-5 : Add up the four terms of step 4 :

(x^2+1) • (x^2-4)