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tsimonej12
25.12.2020 •
Mathematics
x3 − 4x2 + 3x + 7 divided by (x + 5)
I'm studying for a quiz but I don't understand how to do this.
Please explain. Brainliest only will be given if it includes an explanation.
I will report you if you give some random answer just for the points, don't test me.
Solved
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Ответ:
Step-by-step explanation:
x³ - 4x² + 3x + 7
= (x + 5)(Ax² + Bx + C) + D
= Ax³ + (B + 5A)x²+ (C + 5B)x + (D + 5C).
By Comparing Coefficients, we have
A = 1
B + 5A = -4
C + 5B = 3
D + 5C = 7
Solving them, we have A = 1, B = -9, C = 48 and D = -233.
Hence x³ - 4x² + 3x + 7 = (x + 5)(x² - 9x + 48) - 233.
Ответ:
D: the model is a good fit 100%
Step-by-step explanation: