Answer:
a=2, b=0
Step-by-step explanation:
Given:
f(x) = x^3 + x^2 - ax +b is divisible by (x^2 -x)
Need to find:
Values of a and b.
Solution:
Factor
(x^2-x) = (x)(x-1)
if x^3 + x^2 - ax +b is divisible by (x)(x-1), then
both x and (x-1) are roots to f(x), therefore
x=0 or x=1 are roots to f(x).
Using the factor theorem,
f(x=0) = 0 => 0+0-0+b = 0 => b=0
f(x=1)=0 => 1+1-a+b=0 => 1+1-a+0 = 0 => a=2
That is a=2, b=0
Now factor f(x) with a=2, b=0
f(x) = x^3 + x^2 - ax +b
= x^3 + x^2 - 2x
= x (x^2 + x - 2)
= x (x+2) (x-1)
Thus both x and (x-1) are factors... checks.
Answer:
<h2>equilateral triangle</h2><h3>the last option</h3><h3>pls mark brainlest</h3>
Step-by-step explanation:
initial value is when t = 0 = 19900
growth (since it does not depreciate)
percentage: (1.21 x 19900 / 19900) - 100 = 21%
Topic: Logarithms, Percentage
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She estimated by rounding 907 -> 900 and 626 -> 630 and when you subtract them, you get 270, which is how she estimated >300 people would arrive in the afternoon
Youll get 9 months with 90 dollars because you get 3 free months and 6 months with 15/per month its 90.