Write whether the statement are True or False. Justify your answer.
The degree of the sum of two polynomials each of degree $5$ is always $5 .$
Write whether the statement are True or False. Justify your answer.
The degree of the sum of two polynomials each of degree $5$ is always $5 .$
The given statement is false. For example, consider the two polynomial $-x^{5}+3 x^{2}+4$ and $x^{5}+x^{4}+2 x^{3}+3 .$
The degree of each of these polynomial is $5 .$
Their sum is $x^{4}+2 x^{3}+3 x^{2}+7 .$
The degree of this polynomial is not $5$
Similar Questions
Expand
$(2 a+3 b)^{2}$
Expand
$(2 a+3 b)^{2}$
If $x+2 a$ is a factor of $x^{5}-4 a^{2} x^{3}+2 x+2 a+3,$ find $a$
If $x+2 a$ is a factor of $x^{5}-4 a^{2} x^{3}+2 x+2 a+3,$ find $a$
Factorise :
$2 x^{3}-3 x^{2}-17 x+30$
Factorise :
$2 x^{3}-3 x^{2}-17 x+30$
If $x+1$ is a factor of the polynomial $2 x^{2}+k x,$ then the value of $k$ is
If $x+1$ is a factor of the polynomial $2 x^{2}+k x,$ then the value of $k$ is
Find the value of the polynomial $3 x^{3}-4 x^{2}+7 x-5,$ when $x=3$
Find the value of the polynomial $3 x^{3}-4 x^{2}+7 x-5,$ when $x=3$