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Answer :
Factor the greatest common factor 40x⁴ - 48x³ + 32x² as 8x²(5x² - 6x + 4).
To factor the greatest common factor from the polynomial 40x⁴ - 48x³ + 32x², you need to identify the largest common factor of all the terms. In this case, the greatest common factor is 8x². Therefore, the factorization is 8x²(5x² - 6x + 4).
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To factor out the greatest common factor from the polynomial 40x⁴-48x³+32x², we identify the largest factor that each term shares, which is 8x², resulting in the factorization 8x²(5x² - 6x + 4).
To factor the greatest common factor from the polynomial 40x⁴-48x³+32x², we first need to identify the largest factor that each term of the polynomial shares.
Looking at the coefficients (40, 48, and 32), we see that the largest common factor is 8. Additionally, each term has at least an x² in it, so the greatest common factor includes x².
Thus, factoring out 8x² from the polynomial, we get:
8x²(5x² - 6x + 4).
The polynomial is now expressed as the product of the greatest common factor, 8x², and another polynomial 5x² - 6x + 4. This completes the factorization.
