The answer: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Explanation:
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Given: " 4x⁴ − 24x³ + 36x² " ; The least common factor is: 4x² ;
since the least common NUMBER as a factor is "4"; and the least common "variable" as a factor is "x² " ;
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4x⁴ − 24x³ + 36x² = 4x² (x² − 6x + 9) ;
Factor the: "(x² − 6x + 9)" ;
(x² − 6x + 9) = (x − 3)(x − 3) ;
Rewrite: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Hey there!
b^2 - 5b + 3
= -3^2 - 5(-3) + 3
= -9 - (-15) + 3
= -9 + 15 + 3
= 6 + 3
= 9
Answer: 9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)