Free Printable Higher Degree Polynomials

1.

What is the process of factoring polynomials?

a)

Multiplying a polynomial expression by its conjugate.

b)

Combining like terms in a polynomial expression.

c)

Finding the greatest common factor of a polynomial expression.

d)

Breaking down a polynomial expression into its factors.

2.

Solve the following polynomial using synthetic division: $(x^3-5x^2-2x+24)\div(x-3)$

a)

x = 3

b)

x = 4

c)

x = -2

d)

x = -1

3.

Find the roots of the polynomial equation: $x^2-4x+3=0$

a)

The roots of the polynomial equation $x^2-4x+3=0$ are x = -1 and x = -3.

b)

The roots of the polynomial equation $x^2-4x+3=0$ are x = 2 and x = 5.

c)

The roots of the polynomial equation $x^2-4x+3=0$ are x = 3 and x = 1.

d)

The roots of the polynomial equation $x^2-4x+3=0$ are x = 0 and x = 4.

4.

Factorize the polynomial: $x^2+5x+6$

a)

(x + 2)(x + 3)

b)

(x + 4)(x + 5)

c)

(x + 1)(x + 6)

d)

(x + 2)(x + 4)

5.

Using synthetic division, find the roots of the polynomial: $(x^3-3x^2-4x+12)\div(x-2)$

a)

[2, -3]

b)

[2, 3]

c)

[-2, -3]

d)

[-2, 3]

6.

Solve the quadratic equation using the Quadratic Formula: $2x^2+5x-3=0$

a)

x = 1/2, 3

b)

x = -1/2, -3

c)

x = 1/2, 3/2

d)

x = 1/2, -3

7.

Factorize the polynomial: $x^3-8$

a)

$(x-2)(x^2+2x+4)$

b)

$(x-2)(x^2+2x-4)$

c)

$(x-2)(x^2-2x+4)$

d)

$(x+2)(x^2-2x+4)$

8.

Find the roots of the polynomial equation: $3x^2+7x+2=0$

a)

1/3, 2

b)

-1/2, -1

c)

-1/3, -2

d)

1, -2

9.

What is the general form of a polynomial equation of degree n?

a)

ax^n + bx^(n-1) + cx^(n-2) + ... + kx + d + e

b)

ax^n + bx^(n-1) + cx^(n-2) + ... + kx + d + f

c)

ax^n + bx^(n-1) + cx^(n-2) + ... + kx + d

d)

ax^n + bx^(n-1) + cx^(n-2) + ... + kx + d + g

10.

Using synthetic division, find the roots of the polynomial: $(4x^3-12x^2+9x-2)\div(x-2)$

a)

x = -1

b)

x = 2

c)

x = 1/2

d)

x = 3

Higher Degree Polynomials

Total questions: 10

Worksheet time: 7mins

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