(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.
<h3>What is a factor of a polynomial?</h3>
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial function f(x) = x³ - x² - 17x -15.
If (x - 5) is it's factor then f(5) = 0.
∴ f(x) = x³ - x² - 17x -15.
f(5) = 5³ - 5² - 17(5) - 15.
f(5) = 125 - 25 - 85 - 15.
f(5) = 0.
So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.
learn more about factor of a polynomial here :
brainly.com/question/26354419
#SPJ1
Answer:
x=1/2
Step-by-step explanation:
-5(x - 4) + 6 = 5(3x+4) -4
WE APPLY DISTRIBUTIVE PROPERTY:
-5*x +5*4 + 6 = 5*3x +5*4 -4
-5x + 26 = 15x +20 -4
26 +4 -20=15x+5x
10=20x
x= 10/20
we have:
x=1/2
4.16 hours and 4 cups
Step-by-step explanation:
10. To find the % of something simply turn 5/6 in to a decimal (.83) then times it by the number you want .83 * 60 = 50 so its about 50 min each class, just times it by 5 =250 and lastly divide it by 60 for hours <u>4.16</u>
11. Simply times it by 6, 2/3*6= <u>4</u><u> </u><u>c</u><u>u</u><u>p</u><u>s</u>
Answer: 56
Step-by-step explanation:
