Question

Which of the following statements is correct? *

A polynomial of degree 2 has three zeroes

A polynomial of degree 3 has two zeroes

A polynomial of degree 4 has four zeroes

A polynomial of degree 5 has ten zeroes​

Answer 1

$\huge \rm{ \underline{ \underline{ \pink{required \: answer}}}}$

Which of the following statements is correct? 

A polynomial of degree 2 has three zeroes ✓

A polynomial of degree 3 has two zeroes

A polynomial of degree 4 has four zeroes

A polynomial of degree 5 has ten zeroes

$\large \rm{ \underline{extra \: knowledge : }}$

• A polynomial is a expression in which two algebraic terms are included.

For example :-

• 5a + 2

• 6x² + 1

• -3x + 6

_______________________

$\sf{\underline{\red{Algebraic\: Identity}}}$

$\boxed{\begin{minipage}{7 cm}\boxed{\bigstar\:\:\textbf{\textsf{Algebric\:Identity}}\:\bigstar}\\\\1)\bf\:(A+B)^{2} = A^{2} + 2AB + B^{2}\\\\2)\sf\: (A-B)^{2} = A^{2} - 2AB + B^{2}\\\\3)\bf\: A^{2} - B^{2} = (A+B)(A-B)\\\\4)\sf\: (A+B)^{2} = (A-B)^{2} + 4AB\\\\5)\bf\: (A-B)^{2} = (A+B)^{2} - 4AB\\\\6)\sf\: (A+B)^{3} = A^{3} + 3AB(A+B) + B^{3}\\\\7)\bf\:(A-B)^{3} = A^{3} - 3AB(A-B) + B^{3}\\\\8)\sf\: A^{3} + B^{3} = (A+B)(A^{2} - AB + B^{2})\\\\\end{minipage}}$

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