Simplifying Rational Polynomial: A rational polynomial involves polynomial expressions in the numerator and denominator. For simplifying such expressions, the numerator and denominator must be factored in, and any common factor must be canceled.
The cost, in dollars, of making suits is described as 20 times the number of suits plus 150. Use s as the number of suits and write a polynomial to describe this cost. Find the cost of making seven suits. C=20s+150 C=20(7)+150=140+150=$290 Simplify the following expressions. ...
The fraction term which contains the polynomial either in the numerator or the denominator of the fraction is called the rational expression. It can be simplified like the usual expression. Most probably, we can simplify this expression by using the factoring method. Answer and Explanat...
Expand the following expression into a polynomial by carrying out the indicated multiplication and grouping together like powers of x. x(x2 - 3x + 6) Expand the following expression into a polynomial by carrying out the indicated multip...
The rational expression can be simplified by the factoring method. So we have to find and cancel out the common factor of the polynomial on the numerator and denominator of the rational expression.Answer and Explanation: Rational expression: {eq}\frac{-9r^2 - 6rs - s^2}...
Create two real parameters,daanddx, and a 2-by-3 matrix,ABmat, involving polynomial expressions in the two real parameters. da = ureal('da',0,'Range',[-1 1]); dx = ureal('dx',0,'Range',[-1 1]); a11 = -.32 + da*(.8089 + da*(-.987 + 3.39*da)) + .15*dx; ...
For example, the following two mathematical expressions present the same polynomial in different forms: (x + 1)(x - 2)(x + 3)(x - 4), x4 - 2x3 - 13x2 + 14x + 24. The first form clearly shows the roots of this polynomial. This form is simpler for working with the roots. ...
In such cases you should factor -1 or another negative number from one polynomial so that the expression in each set of parentheses is equivalent. Look carefully at the following two examples. EXAMPLE 5 Simplify. (5x-15)/(6-2x) Notice that the variable term in the numerator, 5x, and ...
To experiment with simplifying symbolic expressions, you can repeat the previous steps for other symbolic expressions and simplification methods. You can run the following examples by adding the code to the existing live script or a new live script. Simplify a Polynomial Fraction...
Finally, you can apply a function to each of the collected coefficients. For example you can factorize symbolic coefficients of polynomial: >>> f = expand((x + a + 1)**3) >>> collect(f, x, factor) x**3 + 3*x**2*(a + 1) + 3*x*(a + 1)**2 + (a + 1)**3 Note...