If x = 3 is a zero of the polynomial function f(x) = 2x^3+ x2 - 25x + 12, which of the following is another zero of f(x)?
x= -3
x=4
x= -4
x = 12

From the given four options, another factor of polynomial is x = -4.

Solution:

Given that x = 3 is a zero of the polynomial function

Need to check if any other zeros is present in four given option. Let us understand what is zero of a polynomial. A zero for polynomial is that value of variable x for which dependent function of (x) = 0.

So we need to check for all four values of x,  

Corresponding value of polynomial and if it is equal to 0 that that value of x is zero of f of x.

On substituting x= -3, we get

As function of -3 =  42, which is not equal to 0,  

So x= -3 is not a zero of polynomial

On substituting x = 4, we get

As function of 4 =  56, which is not equal to 0,  

So x= 4 is not a zero of polynomial

On substituting x = -4, we get

As function of -4 = 0 , so x = -4 is a zero of a zero of polynomial

On substituting x = 12, we get

As function of 12 =  1584, which is not equal to 0,  

So, x= 12 is not a zero of polynomial

Therefore, the another zero is x=-4.

what is all that apply?

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720