Polynomials

High School Math 1 · Unit 3 · polynomial-operations

polynomial-operations

Name ______________________________Date ______________

1.
Classify $4x^{3} - 2x + 7$ by its number of terms and its degree.
1. (A)
  binomial, degree $3$
2. (B)
  trinomial, degree $3$
3. (C)
  trinomial, degree $2$
4. (D)
  trinomial, degree $7$
2.
Expand and simplify $(2x - 3)(x + 5)$ .
Answer: ______________
3.
A rectangle has length $x + 6$ and width $x + 2$ . Its area, expanded, is $x^{2} + bx + c$ . What is $b$ ?
Answer: ______________
4.
Which is the expansion of $(x + 5)^{2}$ ?
1. (A)
  $x^{2} + 25$
2. (B)
  $x^{2} + 5x + 25$
3. (C)
  $x^{2} + 10x + 25$
4. (D)
  $x^{2} + 10x + 10$
5.
Real numbers $x$ and $y$ satisfy $x + y = 7$ and $xy = 10$ . What is $x^{2} + y^{2}$ ?
1. (A)
  $19$
2. (B)
  $29$
3. (C)
  $39$
4. (D)
  $49$
5. (E)
  $69$