Question

Write this polynomial in standard form:

8x² - 4x³ + 12 - 5x

Simplify the polynomial expression:

(4x3 + 10x2 − 3x + 15) + (−2x2 + x −2)

An expression is shown.
(2x−3)+[4x(3x+2)]
Which polynomial is equivalent to the given expression?

1. 9x−1

2. 14x+5

3. 12x2+2x−1

4. 12x2+10x−3

Answer 1

-4x³ + 8x² - 5x + 12 Standard form

(4x³ + 10x² - 3x + 15) + (-2x² + x - 2) = 4x³ + 8x² - 2x + 13

2x - 3 + [4x (3x + 2)]

2x - 3 + (12x² + 8x)

12x² + 10x - 3

Answer 2

1.
`-4x^3+8x^2-5x+12`

2.
`4x^3+8x^2-2x+13`

3.Option 4

Explanation:

1.We are given that a polynomial

`8x^2-4x^3+12-5x`

We have to write the given polynomial in standard form

In order to write the polynomial in standard form then we arrange the terms in polynomial according to increasing power of x

`-4x^3+8x^2-5x+12`

It is required standard form of given polynomial .

2.We are given that a polynomial

`(4x^3+10x^2-3x+150+(-2x^2+x-2)`

We have to simplify the polynomial

`4x^3+10x^2-3x+15-2x^2+x-2`

`4x^3+8x^2-2x+13`

3.We are given that an expession

`(2x-3)+[4x(3x+2)]`

We have to find the value of a polynomial which is equivalent to given expression

`2x-3+12x^2+8x`

`12x^2+10x-3`

Hence ,option 4 is true.