We can check to see if (x - 2)(x - 9)(x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.
(x - 2)(x - 9)(x - 1)
(x - 2)x^2 - x - 9x + 9
Combine like terms.
(x - 2)x^2 - 10x + 9
FOIL again.
x^3 - 10x^2 + 9x - 2x^2 + 20x - 18
Combine like terms.
x^3 - 12x^2 + 29x - 18
<h3><u>The listed factors are not true factors of the given polynomial.</u></h3>
Answer:
b
Step-by-step explanation:
Answer:
15. d) 36
16. b) 20
17. d) 180
18. b) 50
19. c) 360
20. b) 60
Step-by-step explanation:
To find the number of sides a polygon has giving an interior angle, use the equation:
(number of sides - 2)*180/(number of sides) = measure of interior angle
<em>15. </em>(n = number of sides)
((n-2)*180)/n = 170
180n-360 = 170n
10n = 360
n = 36 (d)
<em>16.</em> (n = number of sides)
((n-2)*180)/n = 162
180n-360 = 162n
18n = 360
n = 20 (b)
<em>17.</em> The sum of the interior angles of a triangle is always 180 (d)
<em>18.</em> 180-60-70 = 50 (b)
<em>19.</em> The sum of the interior angles of a quadrilateral is always 360 (c)
<em>20.</em> 360-120-90-90 = 60 (b)
