Question

Please help I am terrible at algebra

Answer 1

Question No 3:

The function is Linear as highest power is 1.

Quadratic Term: None

Linear Term: x

Constant: -1

Question No 4:

The function is Quadratic as highest power is 2.

Quadratic Term: 2x^2

Linear Term: -3x

Constant: 5

Question No 5:

The function is Quadratic as highest power is 2.

Quadratic Term: 3x^2

Linear Term: 15x

Constant: None

Question No 6:

The function is Linear as highest power is 1.

Quadratic Term: None

Linear Term: 3x

Constant: -5

Question No 7:

The function is Quadratic as highest power is 2.

Quadratic Term: -2x^2

Linear Term: -8x

Constant: None

Explanation:

Question No 3:

The term given is:
`y=x(1-x)-(1-x^2)`

Simplifying:

`y=x-x^2-1+x^2\\y=x-1`

So, the function is Linear as highest power is 1.

Quadratic Term: None

Linear Term: x

Constant: -1

Question No 4:

The term given is:
`y=2x^2-(3x-5)`

Simplifying:

`y=2x^2-(3x-5)\\y=2x^2-3x+5`

So, the function is Quadratic as highest power is 2.

Quadratic Term: 2x^2

Linear Term: -3x

Constant: 5

Question No 5:

The term given is:
`y=3x(x+5)`

Simplifying:

`y=3x(x+5)\\y=3x^2+15x`

So, the function is Quadratic as highest power is 2.

Quadratic Term: 3x^2

Linear Term: 15x

Constant: None

Question No 6:

The term given is:
`y=3x-5`

Simplifying:

It is in simplest form.

`y=3x-5`

So, the function is Linear as highest power is 1.

Quadratic Term: None

Linear Term: 3x

Constant: -5

Question No 7:

The term given is:
`f(x)=-x(2x+8)`

Simplifying:

`f(x)=-x(2x+8)\\f(x)=-2x^2-8x`

So, the function is Quadratic as highest power is 2.

Quadratic Term: -2x^2

Linear Term: -8x

Constant: None