Question

If one factor of x 4 + x^2 - 20
is x^2 + 5,then the other factor
is​

Answer 1

ANSWER IS 21

Step-by-step explanation:

X^4+ X^2-20 =X^2+5

X^4+ X^2-X^2=5+20

X^4=25

X=25-4

X=21

Answer 2

ANSWER :–

Other factor = x² - 4

EXPLANATION :–

GIVEN :–

A polynomial x⁴ + x² - 20 = 0 have one factor x² + 5 .

To find :–

Another factor of polynomial .

SOLUTION :–

• Let's divide x⁴ + x² - 20 = 0 by x² + 5.

➨ x² + 5 ) x⁴ + x² - 20 ( x² - 4

x⁴ + 5x²

(-) (-)

- 4x² - 20

- 4x² - 20

(+) (+)

0

➨ Hence , x² - 4 is another factor .