Free Printable Math ASSIGNMENT 3 : GROUP 3

1.

Solve the following

a)

$-3x^3-9$

b)

$3x^2-3$

c)

$-3x^2-6$

d)

$3x^2-2$

2.

Multiply the polynomial

a)

$x^3+xz+2x^2z+2xz^2+z^2$

b)

$x^3+xz+3x^2z+2x^2z^2+z^{ }$

c)

$x^3+xz+3x^2z+2xz^2+z^2$

d)

$x^3+z^3+xz+3x^2z+2xz^2$

3.

Express the following as $\frac{A}{\left(x+1\right)}\ and\ \frac{B}{\left(x-2\right)}$

a)

A=1, B=2

b)

A=2, B=3

c)

A=1, B=3

d)

A=2, B=1

4.

Express the following as $\frac{A}{x-1}+\frac{B}{\left(x-1\right)^2}\ +\frac{C}{\left(x-1\right)^3}$

a)

A=0, B=-5, C=-3

b)

A=0, B=5, C=-2

c)

A=1, B=-5, C=-3

d)

A=1, B=5, C=2

5.

Factorise and find the roots

a)

x=5, -3

b)

x=3, 5

c)

x=-2, 5

d)

x=5, 2

6.

Complete the square and find the roots

a)

x=7, 2

b)

x=-7, 2

c)

x=7, -2

d)

x=-7, -2

7.

Solve using quadratic formula

a)

x=1, 2

b)

x=-0.2, -1

c)

x=0.2, -1

d)

x=-1, 2

8.

What is the nature of the roots of this equation?

a)

Two distinct real roots.

b)

Two equal real roots.

c)

No real roots.

9.

a)

$\frac{22}{4}$

b)

$-\frac{21}{4}$

c)

$-\frac{4}{21}$

d)

$\frac{19}{7}$

10.

Given that $\alpha$ and $\beta$ are the roots of $5x^2-2x-2=0$ , form a quadratic equation $\alpha x^2+bx+c=0$ with the roots of ( $\alpha$ – 5 ) and

( $\beta$ – 5 ).

a)

No answer

b)

$5x^2-48x+113=0$

c)

$5x^2+48x+133=0$

d)

$5x^2+48x+113=0$

Math ASSIGNMENT 3 : GROUP 3

Total questions: 10

Worksheet time: 3hrs 30mins

Similar Resources on Wayground