Use the Factor Theorem to determine if the given binomial is a factor of the given polynomial function:f(x)=4x^4-20x^3+33x^2-22x+ 5;x-5/2 A:f(-5/2)≠0; the binomial is not a factor of the polynomial

B: f(5/2)≠0; the binomial is not a factor of the polynomial

C:f(-5/2)=0; yes, the binomial is a factor of the polynomial

D: f(5/2)=0; yes, the binomial is a factor of the polynomial

D: f(5/2)=0; yes, the binomial is a factor of the polynomial

Step-by-step explanation:

The easy way to determine is to plug in the potential zero into the polynomial given the binomial divisor and see if it results in 0. If so, then the binomial is a factor of the polynomial:

Because f(5/2)=0, then the binomial is indeed a factor of the polynomial!

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.