To find the zeroes of the polynomial first equate the polynomial to zero and then solve it.
We have polynomial P(x) = 4x ( x-3 ) ( x+1) ( 2x-5 )
Equate the polynomial P (x) to zero and then solve it as follows
P(x) = 4x (x-3) (x+1) (2x-5) = 0
⇒ 4x = 0 or x-3 = 0 or x+1 = 0 or 2x-5 = 0
⇒ 4x/4 = 0/4 or x-3+3 = 0+3 or x+1-1 = 1 or 2x-5+5 = 0+5
⇒ x = 0 or x = 3 or x = -1 or 2x = 5
⇒ x = 0 or x = 3 or x = -1 or 2x/2 = 5/2⇒ x = 5/2
Hence, the zeros of the given polynomial P(x) are
x = 0, 3, -1, 5/2.
Polynomials are sums of phrases of the shape k⋅xⁿ, where okay is any range and n is a fantastic integer. as an example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, degree, trendy form, monomial, binomial and trinomial.
Learn more about Polynomials here https://brainly.com/question/2833285
#SPJ2
