Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 2: Exercise 1

Complete the statement

$\left(x+1\right)(x+$_____$)=x^2+4x+3$

Complete the statement

$\left(x+4\right)(x+$_____$)=x^2+6x+8$

Complete the statement

$\left(x-3\right)(x+$_____$)=x^2+2x-15$

Complete the statement

$(x+$_____$\left)\right($______$-4)=x^2-$_____$x-4$

Expand and simplify the given expression

$\left(2x+2\right)\left(2x+6\right)$

Expand and simplify the given expression

$\left(3x+1\right)\left(2x-3\right)$

Expand and simplify the given expression

$\left(5x-3\right)\left(2x-2\right)$

Complete the text with the words in the box. You may use a word more than once.

When you _____ two brackets containing linear expressions, you must _____ each _____ in the first _____ by each _____ in the second.

You will get _____ terms.

Then you should _____ if possible.