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nadinealonzo6121
28.10.2019 •
Mathematics
The polynomial x^2 +3x+1 is a factor of x^3+2x^2-5x-6 select the best answer from the choices provided
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Ответ:
A factor of a polynomial evenly divides the polynomial, without leaving a
remainder.
The statement, the polynomial x² + 3·x + 1 is a factor of x³ + 2·x² - 5·x - 6 is; FalseReasons:
By long division we have;
Given that (x³ + 2·x² - 5·x - 6) ÷ (x² + 3·x + 1) = (x - 1) remainder (-3·x - 5), we have;
(x² + 3·x + 1) is not a factor of (x³ + 2·x² - 5·x - 6) because it does not evenly divides (x³ + 2·x² - 5·x - 6)
Therefore, the polynomial, x² + 3·x + 1 is not a factor of x³ + 2·x² - 5·x - 6, the
statement is false
Learn more about factors of a polynomial here:
link
Ответ:
x^3+2x^2-5x-6 factors to (x-2)(x+1)(x+3)
None of the pair of factors multiply to x^2+3x+1
(x-2)(x+1) = x^2-x-2
(x-2)(x+3) = x^2+x-6
(x+1)(x+3) = x^2+4x+3
Ответ:
1. 62.4
2. 156.6
3. 604.56
Step-by-step explanation:
130 ÷ 100 = 1.3
1.3 × 48 = 62.4
580 ÷ 100 = 5.8
5.8 × 27 = 156.6
458 ÷ 100 = 4.58
4.58 × 132 = 604.56