Find the constant term after subtract the following:
$1 + x + 2 x^{2} - 3 x^{3}$ from $2 x^{2} - 4 x^{3} + 4 x + 9$

Open in App

Solution

We find the subtraction of the given polynomials $(2 x^{2} - 4 x^{3} + 4 x + 9) - (1 + x + 2 x^{2} - 3 x^{3})$ by combining the like terms as shown below:

$(2 x^{2} - 4 x^{3} + 4 x + 9) - (1 + x + 2 x^{2} - 3 x^{3}) = (- 4 x^{3} + 3 x^{3}) + (2 x^{2} - 2 x^{2}) + (4 x - x) + (9 - 1) = x^{3} (- 4 + 3) + x^{2} (2 - 2) + x (4 - 1) + 8 = - x^{3} + 3 x + 8$

We know that the constant term of a polynomial is the term of degree $0$ ; it is the term in which the variable does not appear.

In the resulting polynomial $- x^{3} + 3 x + 8$ , the constant term is $8$ because there is no variable.

Hence, the constant term is $8$ .

Suggest Corrections

Similar questions

(1 + x + 2 x^{2} - 3 x^{3})

(2 x^{2} - 4 x^{3} + 4 x + 9)

(- x^{3} + 3 x + 8)

6 x^{3} - 7 x^{2} 2 x + 4

9 x^{3} - 5 x^{2} - 4 x + 6

3 x^{3} + 2 x^{2} - 9

4 x^{3} + 7

4 x^{3} - 3 x + 5

2 x^{2} - 3 x^{3} + 5 x - 2

What must be subtracted from $4 x^{3} - 3 x + 5$ to get $2 x^{2} - 3 x^{3} + 5 x - 2$ ?

4 x^{3} - 3 x + 5

2 x^{2} - 3 x^{3} + 5 x - 2

Join BYJU'S Learning Program