단항식과 다항식의 계산

Add and Subtract Polynomials

In the following exercises, add or subtract the polynomials.

$({x}^{3}-2{x}^{2}y)-(x{y}^{2}-3{y}^{3})-({x}^{2}y-4x{y}^{2})$

Evaluate a Polynomial for a Given Value

In the following exercises, evaluate each polynomial for the given value.

Evaluate $8{y}^{2}-3y+2$ when:

ⓐ $y=5$ ⓑ $y=-2$ ⓒ $y=0$

Evaluate a Polynomial for a Given Value

In the following exercises, evaluate each polynomial for the given value.

Evaluate $5{y}^{2}-y-7$ when:

ⓐ $y=-4$ ⓑ $y=1$ ⓒ $y=0$

Evaluate a Polynomial for a Given Value

In the following exercises, evaluate each polynomial for the given value.

Evaluate $4-36x$ when:

ⓐ $x=3$ ⓑ $x=0$ ⓒ $x=-1$

Evaluate a Polynomial for a Given Value

In the following exercises, evaluate each polynomial for the given value.

Evaluate $16-36{x}^{2}$ when:

ⓐ $x=-1$ ⓑ $x=0$ ⓒ $x=2$

Using your own words, explain the difference between a monomial, a binomial, and a trinomial.

Using your own words, explain the difference between a polynomial with five terms and a polynomial with a degree of 5.

Ariana thinks the sum $6{y}^{2}+5{y}^{4}$ is $11{y}^{6}$. What is wrong with her reasoning?

Jonathan thinks that $\frac{1}{3}$ and $\frac{1}{x}$ are both monomials. What is wrong with his reasoning?

Distribute: $2(x+3).$

Combine like terms: ${x}^{2}+9x+7x+63.$

Multiply: $4(x+3).$

Multiply: $5(x+7).$

Multiply: $3(y+13).$

Multiply: $y(y-2).$

Multiply: $x(x-7).$

Multiply: $d(d-11).$

Multiply: $7x(2x+y).$

Multiply: $5x(x+4y).$

Multiply: $2p(6p+r).$