Question

Which of the following polynomials are:
(i) Having a degree of atleast 4.
(ii) Trinomial ?

• A. $x^2+3x+1$
• B. $x^5+x+9$
• C. $x^2+x^5+3x+8$
• D. $x+x^6+2$

Answer 1

Answer: (B), (D)

The correct options are
B $x^5+x+9$
D $x+x^6+2$

$\because$ A trinomial has 3 terms,
$x^2+x^5+3x+8$, can definitely not be the answer
.
It is given, the degree of the polynomial is atleast 4
$\Rightarrow$ The degree of the polynomial $\ge 4$.

$\therefore$ $x^2+3x+1$ can also not be the answer.

For the polynomial $x+x^6+2$ , degree = 6 and it is a trinomial.
Also,
For the polynomial $x^5+x+9$ , degree = 5 and it is a trinomial.

$\therefore$ The required answers are $x+x^6+2$ and $x^5+x+9$