One of the factors of 15 - 8x - 16x² is
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The factors of 15 - 8x - 16x² are (3-4x) and (5+4x)
Step-by-step explanation:
To find,
The factors of the quadratic equation 15 - 8x - 16x²
Solution
To factorise 15 - 8x - 16x²
Sum of the numbers = -8
Product of the numbers = -240
The numbers are -20 and +12
such that -20+12 = -8 and -20×12 = -240
15 - 8x - 16x² = 15 - 20x +12x -16x²
= 5(3 - 4x) + 4x(3 - 4x)
= (3-4x)(5+4x)
15 - 8x - 16x² = (3-4x)(5+4x)
∴ The factors of 15 - 8x - 16x² are (3-4x) and (5+4x)
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