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

1.

2.

3.Option 4

Step-by-step explanation:

1.We are given that a polynomial

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

It is required standard form of given polynomial .

2.We are given that a polynomial

We have to simplify the polynomial

3.We are given that an expession

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

Hence ,option 4 is true.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the perimeter is increased by a factor of 2