Question

if a and b are the zereos of a polynomial such that a + b = -6 and ab = 5, then find the polynomial ​

Answer 1

Answer:

the answer is x²-6x-5

Step-by-step explanation:

we know..

if a+b and ab is given, then the polynomial is:

x²+(a+b) -ab

hence the above answer..

Answer 2

Concept:

Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The classification of the phrase as a monomial, binomial, or trinomial depends on how many terms are included in it. Here are some examples of constants, variables, and exponents:

Constants. For instance, 1, 2, 3, etc.

Variables. For instance, g, h, x, y, etc.

Exponents: For instance, 5 in x 5 etc.

P(x)=a₁xⁿ+a₂xⁿ⁻¹.....aₙ

Sum of roots=a₂/a₁

Given:

If a and b are the zeroes of a polynomial such that a + b = -6 and ab = 5

Find:

Find the polynomial ​

Solution:

we know..

if a+b and ab is given, then the polynomial is:

x²-(a+b)x +ab

a+b=-6 and ab=5

=x² -6x+5

Therefore, the polynomial is a quadratic equation,x² -6x+5

#SPJ3