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2 years ago

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:

The binomial is a factor

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

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

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What is five times less than the toyal cost of 69 dollars.

bezimeni [28]

It should be 13.8. hope this helps

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3 years ago

Given g(x)=-2x+3, solve for x when g(x)=-3

erma4kov [3.2K]

Answer:

g(-3)=9

Step-by-step explanation:

Replace all of the (x) with -3

So the new equation

g(-3)= -2(-3)+3

Now simplify

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Simplify further

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Hope this helps!

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3 years ago

Rewrite the linear equation in slope-intercept form.

Serhud [2]

Slope intercept: y=-3/4x+2

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2 years ago

Kelsey has a little baby brother he weighs 8 pounds in 3 ounces the doctor said the baby should get about 5 ounces per week at t

Virty [35]

Answer:

11.9375 and just round it

Step-by-step explanation:

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4 0

3 years ago

Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one

dalvyx [7]

Answer with Step-by-step explanation:

We are given that

$f(x)=\frac{3x-1}{x}$

For each real number $x\neq 0$

To prove that f is one -to-one.

Proof:Let $x_1$ and $x_2$ be any nonzero real numbers such that

$f(x_1)=f(x_2)$

By using the definition of f to rewrite the left hand side of this equation

$f(x_1)=\frac{3x_1-1}{x_1}$

Then, by using the definition of f to rewrite the right hand side of this equation of $f(x_1)=f(x_2)$

$f(x_2)=\frac{3x_2-1}{x_2}$

Equating the expression then we get

$\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}$

$3x_1x_2-x_2=3x_2x_1-x_1$

$3x_1x_2-3x_1x_2+x_1=x_2$

$x_1=x_2$

Therefore, f is one-to-one.

6 0

3 years ago