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Factor completely 4×3 + 8×2 − 25x − 50. (2 points) select one:

Factor completely 4x3 + 8x2 − 25x − 50. (2 points) select one: a. (4x2 − 25)(x + 2) b. (2x − 2)(2x + 2)(x + 5) c. (2x − 5)(2x + 5)(x + 2) d. (2x − 5)(2x + 5)(x − 2)
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Dr. Juanita Wolff

Feb 20, 2025

 4x³ + 8x²      -25x - 504x²(x + 2)      -25(x + 2)= (4x² - 25)(x + 2)NOTE: 4x² - 25 is the difference of squares = (2x - 5)(2x + 5)(x + 2) C... Show More
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Dr. Juanita Wolff

Feb 20, 2025

*Hint: Look at the last family operation that is used for you to factor more easily. Since the last variable is a positive, it means that the factors have only positive numbers since a positive times a positive equals a positive number. Only two positives can equal a positive. Therefore, the answer is C.... Show More
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Dr. Juanita Wolff

Feb 20, 2025

4.  ( 5b + 3y ) ( a + 1 )5.  ( x + 7 ) ( 4x² +7 )6.  ( 3x + 5 ) ( 7x² +3 )7.  ( 10x + 3 ) ( y + 2a )... Show More
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Dr. Juanita Wolff

Feb 20, 2025

4x^3 + 8x^2 - 25x - 50Steps(4x^3 + 8x^2) + (-25x - 30)Factor out 4x^2 from 4x^3 + 8x^2: 4x^2(x + 2)Factor out -25 from -25x - 50: -25(x + 2)= 4x^2(x + 2) - 25(x + 2)Then, factor out common term (x + 2)= (x + 2)(4x^2 - 25)Factor 4x^2 - 25: (2x + 5)(2x - 5)= (x + 2)(2x + 5)(2x - 5)Which the answer to this is the 3rd option.... Show More
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Dr. Juanita Wolff

Feb 20, 2025

(x + 2)(4x^2 + 3)Step-by-step explanation:4x3 + 8x2 + 3x+6 becomes 4x^2(x + 2) + 3(x + 2) and can also be written as (x + 2)(4x^2 + 3).Now you know the answer as well as the formula. Hope this helps, have a BLESSED AND WONDERFUL DAY!- Cutiepatutie ☺❀❤... Show More
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