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lealiastentz532542
05.07.2019 •
Mathematics
1. if x-1 is a factor of p(x)=x^3-7x^2+15x-9, which of the following represents the complete factorization for p(x)? a. (x-3)(x+4)(x+1) b. (x-3)(x-3)(x-1) c. (x-3)(x+3)(x-1) d. (x-3)(x+3)(x+1) 2. the point (1,0) lies on the graph of p(x)=x^4-2x^3-x+2 true or false
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Ответ:
1. Option B is the correct answer.
2. The point (1,0) lies on the graph of p(x)=x⁴-2x³-x+2.
Step-by-step explanation:
1. Dividing x³-7x²+15x-9 with (x-1).
Factorizing x²-6x+9 we will get
x²-6x+9 = (x - 3)(x-3)
x³-7x²+15x-9 = (x-1)(x - 3)(x-3)
Option B is the correct answer.
2. We have p(x)=x⁴-2x³-x+2
That is y = x⁴-2x³-x+2
We have coordinates (1,0), substituting
y = 1⁴-2 x 1³-1+2 = 0
So when we are substituting x value as 1 we are getting y as zero, so the point lies in curve.
Ответ:
2 true
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