Question

Give one example each of a binomial of degree 135, and of a monomial of degree 150.

Answer 1

AnswEr :

• Binomial degree may be $\sf {x}^{135} + 1$

• Monomial degree may be $\sf {x}^{100}$

Step-by-step explanation :

Binomial degree :

Generally it means that the number has 2 terms and highest degree as 135.

Examples :

• $\sf {x}^{135} + 1$

• $\sf {y}^{135} + y$

• $\sf {t}^{135} + {t}^{4}$

Monomial degree :

Generally it means that the number has 1 term and highest degree as 100.

Examples :

• $\sf {x}^{100}$

• $\sf {t}^{100}$

• $\sf {y}^{100}$

Answer 2

Binomial :

• $\sf{ {y}^{135} + 6 }$

Monomial :

• $\sf{ {z}^{100} }$

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Binomial : A polynomial containing two nonzero terms is called binomial.

Examples :

• $\sf{ {a}^{55} + 6 }$

• $\sf{ {z}^{89} + b }$

• $\sf{ {c}^{45} + v }$

Monomial : A polynomial containing one term is called a monomial.

Examples :

• $\sf{ {a}^{10} }$

• $\sf{ {b}^{56} }$

• $\sf{ {z}^{76} }$