Question

Define " Binomial" and "Trinomial " in algebraic expression.Give example for each.

Answer 1

Binomial :- The polynomial with exactly 2 digits

Example :- b - 2

Trinomial :- The polynomial exactly with 3 digits

Example :- c-2+d

Answer 2

♧︎︎︎ᴀɴsᴡᴇʀ♧︎︎︎

ᴅᴇғɪɴᴇ ʙɪɴᴏᴍɪᴀʟ :-

• The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials. It is the simplest form of a polynomial.

• ᴇxᴀᴍᴘʟᴇs ғᴏʀ ʙɪɴᴏᴍɪᴀʟ :-
• $(1) \: 4x {}^{2} + 5y {}^{2}$
• $(2)xy {}^{2} + xy$
• $(3)0.75x + xy$
• $(4)x + y$

ᴅᴇғɪɴᴇ ᴛʀɪɴᴏᴍɪᴀʟ :-

• In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials

• To factor a trinomial in the form ax2 + bx + c, find two integers, r and s, whose sum is b and whose product is ac. Rewrite the trinomial as ax2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial.

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