**Answer:**

**Step-by-step explanation:**

According to the Polynomial Remainder Theorem, when dividing a polynomial P(<em>x</em>) by a binomial in the form (<em>x - </em>a), the remainder will be given by P(a).

We are given the polynomial:

And it is divided by the binomial:

The remainder is 21.

Rewriting the divisor yields:

So, <em>a</em> = -1.

Then by the PRT:

Simplify:

Solve for <em>k: </em>

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Out of 3 coins, if you are given that 1 is on tails, then the most heads you could have is 3 coins - 1 tails = 2 heads.

The probability of getting 3 heads would be 0.

(x+2)(2x-5)=56

2x^2-5x+4x-10=56

2x^2-x-10=56

2x^2-x-66=0

2x^2-12x+11x-66=0

2x(x-6)+11(x-6)=0

(2x+11)(x-6)=0, since x is a measurement x>0 so:

x=6cm

It’s just there to be there it means nothing hope it helps!