Question

what is the type of polynomial 2x^2-3x-9 expressing area of the garden?
(a) linear polynomial (b)Quadratic polynomial
(c) cubic polynomial
(d) constant polynomial​

Answer 1

Step-by-step explanation:

Given :-

2x²-3x-9

To find :-

What is the type of polynomial 2x²-3x-9 ?

Solution :-

Given Polynomial = 2x²-3x-9

Degree of the 2x² = 2

Degree of -3x = 1

Degree of -9 = 0

The highest of all exponents = 2

Degree of 2x²-3x-9 is 2

So , it is a Quadratic Polynomial

Now ,

P(x) = 2x²-3x-9

=> P(x) = 2x²-6x+3x-9

=> P(x) = 2x(x-3) +3(x-3)

=> P(x) = (x-3)(2x+3)

2x²-3x-9 = (x-3)(2x+3)

Answer:-

2x²-3x-9 is a quadratic polynomial.

2x²-3x-9 = (x-3)(2x+3)

Used formulae:-

• A polynomial of the degree 2 is called a quadratic polynomial.

• The standard form of Quadratic Polynomial is ax²+bx+c .

• The heighest of all exponents of the variables present in the Polynomial is the degree or the order of the polynomial.