Question

Factor: 28k^3-24k^2+49k-42

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Answer 1

Answer:

$(4k^2+7)(7k-6)$

Step-by-step explanation:

Factor each half of the expression separately:

$4k^2(7k-6)+7(7k-6)$

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

$(4k^2+7)(7k-6)$

Answer 2

Answer:

$(7k - 6) (4k^{2} + 7)$

Step-by-step explanation:

$28k^{3} - 24k^{2} + 49k - 42$

$= (28k^{3} - 24k^{2}) + (49k - 42)$

$= 4k^{2} (7k - 6) + 7 (7k - 6)$

$= (7k - 6) (4k^{2} + 7)$