Use the factor theorem to determine if the given binomial is a factor of f (x).

Mathematics

1 answer:

oee [108]2 years ago

8 0

Answer:

<em>The binomial is a factor</em>

Step-by-step explanation:

In order to show that x+3 is a factor of the polynomial, then;

f(a) = 0

Get a by equating x+3 to zero

x+3 = 0

x = -3

Get f(-3)

f(-3) = (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3

f(-3) = 81 - 216 + 99 + 33 + 3

f(-3) = 216-216

f(-3) = 0

<em>Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial</em>

You might be interested in

PLEASE HELP!!!!!!!

lozanna [386]

The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!! : )

hope this helps you

4 0

3 years ago

These are numbers with more than two factors. *

maxonik [38]

Answer: A

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Determine the explicit equation for the arithmetic sequence that has a first term of -8 and a common difference of 3.put equatio

ss7ja [257]

Answer:

look this up on mathowl on the app store and there is ur answer

6 0

3 years ago

Find the value of m 5m=10: which is the answer 2,50,5

bagirrra123 [75]

$\huge\textbf{Hey there!}$

$\huge\boxed{\textbf{5m = 10}}\\\\\large\textbf{DIVIDE 5 to BOTH SIDES}\\\\\huge\boxed{\mathbf{\dfrac{5m}{5} = \dfrac{10}{5}}}\\\\\large\textbf{CANCEL out: }\bold{\dfrac{5}{5}}\large\textbf{ because it gives you 1}\\\large\textbf{KEEP: }\rm{\bf \dfrac{10}{5}}\large\textbf{ because it gives you the m-value}\\\large\textbf{NEW EQUATION: m = }\bf \rm{\dfrac{10}{5}}\\\\\large\textbf{SIMPLIFY IT!}\\\huge\boxed{\mathbf{m = 2}}\\\large\textbf{Therefore, your answer is: \huge\boxed{\mathsf{m = 2}}}\huge\checkmark$