Question

Need help asap plz ill rate 5 star (only right answer please)

Answer 1

`6x^2 -x - 1`

By degree: Quadratic

By number of terms: Trinomial

`3x + 4`

By degree: Linear

By number of terms: Binomial

`2`

By degree: Constant

By number of terms: Monomial

Explanation:

Given

`(x - (1)/(2))(6x + 2)`

`(7x^2 + 3x) -(1)/(3)(21x^2 - 12)`

`4(5x^2-9x+7)+2(-10x^2+18x-13)`

Required

Simplify and categorize the result based on their degree and number of terms

Simplifying
`(x - (1)/(2))(6x + 2)`

`x(6x + 2) - (1)/(2)(6x + 2)`

Open bracket

`6x^2 + 2x - 3x - 1`

`6x^2 -x - 1`

By degree: Quadratic

By number of terms: Trinomial

Simplifying
`(7x^2 + 3x) -(1)/(3)(21x^2 - 12)`

Open bracket

`7x^2 + 3x -(1)/(3) * 21x^2 -(1)/(3)*- 12`

`7x^2 + 3x -7x^2 + 4`

Collect like terms

`7x^2-7x^2 + 3x + 4`

`3x + 4`

By degree: Linear

By number of terms: Binomial

Simplifying
`4(5x^2-9x+7)+2(-10x^2+18x-13)`

Open brackets

`4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13`

`20x^2-36x+28-20x^2+36x-26`

Collect like terms

`20x^2-20x^2-36x+36x+28-26`

`2`

By degree: Constant

By number of terms: Monomial