Question

find the zero of the polynomial 2x2-x-1

Answer 1

Answer:

$\alpha= -1/2\\\beta = 1$

Answer 2

Step-by-step explanation:

We can find the zeroes by the following steps

1. Middle Term Split
2. Alpha& Beta method

Let the 2 zeroes be alpha and beta

.Middle Term Factorisation

Factorising 2x²-x-1

=2x²-2x+1x-1

=2x(x-1)+1(x-1)

=(2x+1)(x-1)

So now we have 2 values (2x+1) and (x-1)

Let the value be Alpha as x here.

2x+1=0

2x= -1

x = -1/2

alpha= -1/×

Let the value be Beta as x here.

x-1=0

x=1

beta= 1

So our zeroes are -1/2 and 1.

Things to Remember

• Always take zeroes as some value
• This assumption makes Equations less complicated.
• Use BODMAS
• Brackets Of Division Multiplication Addition Subtraction