Question

standard form of -x^2 - 2x + 1 = x^2 - 3x

Answer 1

Step-by-step explanation:

Writing this in Standard Form (of a polynomial) means that the terms are in order from highest to lowest degree (those tiny little numbers to the right of the

x

).

(

3

x

−

4

)

(

2

x

−

1

)

(

x

−

2

)

a) Multiply

(

3

x

−

4

)

and

(

2

x

−

1

)

*:

(

6

x

2

−

3

x

−

8

x

+

4

)

(

x

−

2

)

I combined (added)

−

3

x

and

−

8

x

to get

−

11

x

b) Multiply

(

6

x

2

−

11

x

+

4

)

and

(

x

−

2

)

:

6

x

3

−

11

x

2

+

4

x

−

12

x

2

+

6

x

+

16

x

−

8

c) Rearrange terms into Standard Form:

6

x

3

−

11

x

2

−

12

x

2

+

4

x

+

6

x

+

16

x

−

8

d) Simplify:

6

x

3

−

23

x

2

+

26

x

−

8