A) Expand and simplify (4x + 3)(2x - 5) (2)
+
b) Factorise x2 + 5x + 6
(2)
Total marks: 4

a.

b.

Step-by-step explanation:

A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)

For F, take the first terms of the 2 and multiply

For O, take the outer terms and multiply

For I, take the inner terms and multiply

For L, take the last terms and multiply

After that, add all of them up

B. Since the equation is in the form x^2+bx+c,

Now we need to find 2 numbers that will add up to 5 and multiply to 6.

Here are some of the combinations of numbers that multiply to 6

3*2

1*6

-3*-2

-1*-6

3 and 2 add up to 5 so: