What is a quadratic polynomial function with zeros 3 and -3?

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

Answer:

f(x) = x² - 9

Step-by-step explanation:

Given x = a is a zero of the polynomial f(x) then (x - a) is a factor

Given zeros are x = 3 and x = - 3, then corresponding factors are

(x - 3) and (x - (- 3) ), that is

(x - 3) and (x + 3)

The function is then the product of the factors, that is

f(x) = (x - 3)(x + 3) ← expand using FOIL

f(x) = x² - 9

You might be interested in

What is an equation equal to -2m(m+n-4)+5(-2m+2n)+n(m+4n-5)

ahrayia [7]

$\text{Use distributive property:}\ a(b+c)=ab+ac\\\\-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)\\\\=(-2m)(m)+(-2m)(n)+(-2m)(-4)+(5)(-2m)+(5)(2n)\\+(n)(m)+(n)(4n)+(n)(-5)\\\\=-2m^2-2mn+8m-10m+10n+mn+4n^2-5n\\\\=-2m^2+4n^2+(-2mn+mn)+(8m-10m)+(10n-5n)\\\\=-2m^2+4n^2-mn-2m+5n$

8 0

3 years ago

Which theorem explains why the circumcenter is equidistant from the vertices of a triangle

Brut [27]

Answer:

The proof is explained in step-by-step explaination.

Step-by-step explanation:

Circumcenter is the point at which the perpendicular bisector of sides of triangle intersects inside the circle.

This points lies inside the triangle as well as circle and the vertices of triangles lies on the circle. As a result the distance from circumcenter and vertices is called to be radius of the circle which is always equidistant from the center.

Hence, circumcenter is equidistant from the vertices of a triangle.

3 0

3 years ago

Read 2 more answers

In the diagram below DE is parallel to XY what is the value of y

tester [92]

y = 180 - 100

y = 80

the answer is 80

8 0

4 years ago

Read 2 more answers