단항식과 다항식의 계산

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial:

ⓐ $5b$ ⓑ $8{y}^{3}-7{y}^{2}-y-3$ ⓒ $-3{x}^{2}-5x+9$ ⓓ $81-4{a}^{2}$ ⓔ $-5{x}^{6}$

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial:

ⓐ $27{z}^{3}-8$ ⓑ $12{m}^{3}-5{m}^{2}-2m$ ⓒ $\frac{5}{6}$ ⓓ $8{x}^{4}-7{x}^{2}-6x-5$ ⓔ $-{n}^{4}$

Find the degree of the following polynomials.

• ⓐ $10y$
• ⓑ $4{x}^{3}-7x+5$
• ⓒ $-15$
• ⓓ $-8{b}^{2}+9b-2$
• ⓔ $8x{y}^{2}+2y$

Find the degree of the following polynomials:

ⓐ $-15b$ ⓑ $10{z}^{4}+4{z}^{2}-5$ ⓒ $12{c}^{5}{d}^{4}+9{c}^{3}{d}^{9}-7$ ⓓ $3{x}^{2}y-4x$ ⓔ $-9$

Find the degree of the following polynomials:

ⓐ $52$ ⓑ ${a}^{4}b-17{a}^{4}$ ⓒ $5x+6y+2z$ ⓓ $3{x}^{2}-5x+7$ ⓔ $-{a}^{3}$

Add: $25{y}^{2}+15{y}^{2}$.

Add: $12{q}^{2}+9{q}^{2}.$

Add: $-15{c}^{2}+8{c}^{2}.$

Subtract: $16p-(-7p)$.

Subtract: $8m-(-5m).$

Subtract: $-15{z}^{3}-(-5{z}^{3}).$

Simplify: ${c}^{2}+7{d}^{2}-6{c}^{2}$.

Add: $8{y}^{2}+3{z}^{2}-3{y}^{2}.$

Add: $3{m}^{2}+{n}^{2}-7{m}^{2}.$

Simplify: ${u}^{2}v+5{u}^{2}-3{v}^{2}$.

Simplify: ${m}^{2}{n}^{2}-8{m}^{2}+4{n}^{2}.$

Simplify: $p{q}^{2}-6p-5{q}^{2}.$

Find the sum: $(5{y}^{2}-3y+15)+(3{y}^{2}-4y-11).$

Find the sum: $(7{x}^{2}-4x+5)+({x}^{2}-7x+3).$

Find the sum: $(14{y}^{2}+6y-4)+(3{y}^{2}+8y+5).$