Question

The degree of polynomial having zeros -3 and 4 only is

Answer 1

Answer:

Since , degree of the polynomial is equal to the number of its factor and since , the above polynomial has only two factors ( 2 Zeroes ) , Therefore , it's degree is Two (2) .

Hope, it may help you.

Answer 2

Given:

A polynomial with only zeroes as -3 and 4.

To Find:

The degree of the polynomial.

Solution:

The given problem can be solved by using the concepts of polynomial equations.

1. It is given that the only roots of the polynomial are -3 and 4.

2. It is clear that the given polynomial has only two roots (-3, 4). Two roots are possible only if the equation is quadratic or above. Since (-3,4) are the only roots and there are no repeated roots the equation is quadratic.

3. Any quadratic equation has a degree value of 2. The maximum number of roots of a quadratic equation is 2. The number of solutions for a quadratic equation ranges from [0,2]. When a quadratic equation has no roots, it is considered to have imaginary roots or non-real roots.

4. The equation of the polynomial with roots -3, 4 is,

=>$x^2 -(4-3)x + (-3*4)$,

=> $x^2 + x -12.$

5. Therefore, the equation of the polynomial is$x^2+x-12=0.$

Therefore, the degree of the given polynomial is 2.