Respuesta :

Answer:

x(2x+13)

Step-by-step explanation:

Equation: [tex]2x^2+13x[/tex]

1). Apply exponent rule [tex]a^{b+c}=a^ba^c[/tex] ∴ [tex]2xx+13x[/tex]

Answer:    2x²+2•7 = 2(x²+7)17

Step-by-step explanation:  2x^2+13+2= 2x+15= 17

(2x2 +  13) +  2

 Find roots (zeroes) of :       F(x) = 2x2+15

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  15.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1 ,3 ,5 ,15

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        17.00      

     -1       2        -0.50        15.50      

     -3       1        -3.00        33.00      

     -3       2        -1.50        19.50      

     -5       1        -5.00        65.00      

     -5       2        -2.50        27.50      

     -15       1       -15.00        465.00      

     -15       2        -7.50        127.50      

     1       1        1.00        17.00      

     1       2        0.50        15.50      

     3       1        3.00        33.00      

     3       2        1.50        19.50      

     5       1        5.00        65.00      

     5       2        2.50        27.50      

     15       1        15.00        465.00      

     15       2        7.50        127.50      

2x2 + 15=17 so your over all answer is 17