Ex: Write the polynomial in standard form that represents the perimeter of a rectangle with a length of 2x−5 and width of 5x+1.
Ans: The formula for the perimeter L+L+W+W. So sub 2x-5 for L and 5x+1 for W. The new equation is 2x-5+2x-5+5x+1+5x+1.
That already is a polynomial in standard form.
Powers of their exponents
p=2l+2w
(6a + 7b)(6a - 7b)
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.
That already is a polynomial in standard form.
92
Just write ANY fraction, with a polynomial in the numerator, and a polynomial in the denominator.
Terms
(x-2)(x-3)
2x+5x-24 7x2-24
Powers of their exponents
The Ruffini method, also known as synthetic division, is a step-by-step process for solving polynomial equations. Here is a concise explanation of the process: Write the coefficients of the polynomial equation in descending order. Identify a possible root of the polynomial equation and use synthetic division to divide the polynomial by the root. Repeat the process until the polynomial is fully factored. Use the roots obtained from the synthetic division to write the factors of the polynomial equation. Solve for the roots of the polynomial equation by setting each factor equal to zero. This method allows for the efficient solving of polynomial equations by breaking them down into simpler factors.
The perimeter of a rectangle is the sum of the four sides.
Perimeter = Sum(length of each side), where the summation is over all the sides.
The polynomial IS written in descending order.