Question

X^4+2x^2−63 solve by factoring group

Answer 1

The polynomial equation be x⁴ + 2x² - 63 then the factoring group exists  ( x² - 7) (x² + 9).

What is meant by factorization?

Factorization is the process of dividing a large number into smaller numbers that, when multiplied together, yield the original number. Factorization occurs when you divide a number into its factors or divisors.

Let the given polynomial equation be  x⁴ + 2x² - 63

By factoring the above polynomial equation, we get

Here the coefficient of the first term, x⁴, is 1.

The coefficient of the middle term, 2x², is 2.

The final term, "the constant," is -63.

To find -63 factors whose sum equals the middle term's coefficient, which is 2.

-63 + 1 = -62

-21 + 3 = -18

-9 + 7 = -2

-7 + 9 = 2

Split the middle term of the polynomial using the two factors found in step 2 above, -7 and 9 .

x⁴ - 7x² + 9x² - 63.

= ( x² - 7) (x² + 9)

∴ x⁴ + 2x² - 63 = ( x² - 7) (x² + 9) .

The polynomial equation be x⁴ + 2x² - 63 then the factoring group exists (x² - 7) (x² + 9).

To learn more about factorization refer to :

brainly.com/question/25829061

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