Question

find the zeros, the sum if zeros and product of zeros of 3xsqure-x-4

Answer 1

zeroes are -4/3. 1

sum=-1/3. product. =-4/3

Answer 2

p(x) = 3x²-x-4

Finding zeroes :

3x²-x-4 = 0

3x²+3x-4x-4=0

3x(x+1)-4(x+1) = 0

(3x-4)(x+1)

Here , x = ⁴/3 and x = -1

Sum of zeroes = -(coefficient of x/coefficient of x²) = -1

Product of zeroes = constant term/coefficient of x² = -4/3.

What is a polynomial?

A polynomial is an algebraic expression having the degree of it's variables as a whole number.

For example - 2, x , x+4, 4x³ etc.

The classification of polynomials can be done in two ways :

• On the basis of degree :

★ Linear Polynomial - The polynomial having the degree = 1

★ Quadratic Polynomial - The polynomial having the degree = 2

★ Cubic Polynomial - The polynomial having the degree = 3

• On the basis of terms :

★Monomial : The polynomial having a single term only.

★ Binomial : The polynomial having two terms.

★ Trinomial : The polynomial having 3 terms.