Question

Find the zeroes of the polynomial x 3 - 4x

Answer 1

3x or x3-4x is not a polynomial so there will be no zeros.....

Answer 2

Concept: Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but not division by variable.

Given: polynomial $x^{3 } - 4x$

To find: the zeros of the polynomial

Solution:

Given polynomial is $x^{3} - 4x$

We will equate the supplied polynomial with 0 in order to determine its zeros.

∴ $x^{3} - 4x = 0$

With x common, we obtain:

$x(x^{2} - 4)=0$

Having said that, $a^{2} - b^{2} = (a+b) (a-b)$

$x^{2} -4 = (x+2)(x-2)$

Consequently, the equation is:

x(x+2)(x−2)=0

∴ x = 0, x = 2, or x = −2

Therefore, x = 0 or x = 2 or x = -2.

#SPJ3