All categories

2 years ago

Find the equation for a polynomial f(x) that satisfies the following:

Mathematics

1 answer:

denis-greek [22]2 years ago

3 0

Answer:

f(x) = 1/2(4 - x)(x - 1)(x - 2)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Considering y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

So the function is:

f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)

You might be interested in

What is the equation of the line containing the points (5,2),(10,4)and (15,6)

MAXImum [283]

The y/x values all have the same ratio, 2/5. The line is

y = (2/5)x

5 0

3 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

3 years ago

Read 2 more answers

If AB= 2x+1 and BC=5x-14 Find AC

zloy xaker [14]

A=(2x+1)/B
C=(5x-14)/B

AC=(2x+1)/B * (5x-14)/B
AC=(10x² - 23x - 14)/BE

3 0

3 years ago

What is the measure of segment eb ?

Nady [450]

We know that
<span>When two chords intersect each other inside a circle, the products of their segments are equal (</span>Intersecting Chord Theorem)<span>
</span>so
in this problem
AE*EB=DE*EF----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?

EB=DE*EF/AE-----> EB=12*8/4----> EB=24 in

the answer is
EB=24 in

4 0

3 years ago

Here is the histogram of a data distribution. All class widths are 1.

Lera25 [3.4K]

It’s C. Since that’s the middle based on the diagram

6 0

2 years ago