The polynomial equation be x⁴ + 2x² - 63 then the factoring group exists ( x² - 7) (x² + 9).
<h3>What is meant by factorization?</h3>
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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