Related Posts

This Post Has 3 Comments

  1. x • (x^2 + 1)

    Find roots (zeroes) of :       F(x) = x2 + 1

    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  1  and the Trailing Constant is  1.

    The factor(s) are:

    of the Leading Coefficient :  1

    of the Trailing Constant :  1

    Let us test

     P    Q    P/Q    F(P/Q)    Divisor

         -1       1        -1.00        2.00      

         1       1        1.00        2.00    

  2. - 5(x + 1)(x + 7)

    Step-by-step explanation:

    Expand the given factors in the expression

    = 4x² - 4x + 1 - (9x² + 36x + 36 )

    = 4x² - 4x + 1 - 9x² - 36x - 36 ( collect like terms )

    = - 5x² - 40x - 35 ( factor out - 5 from each term )

    = - 5(x² + 8x + 7) ( factor the quadratic )

    = - 5(x + 1)(x + 7)

  3. You have to figure out the highest common factor of each set of values:
    9a + 21 = 3(3a + 7)
    21b - 49 = 7(3b - 7)
    54 - 6c = 6(9 - c)
    8a + 32b = 8(a + 4b)
    4p + 28q + 8r = 4(p + 7q +2r)
    84a - 36b -12c = 6(14a - 6b - 2c)
    6p + 9q + 15r = 3(2p + 3q + 5r)
    18s - 30t + 54u = 6(3s - 5t + 9u)
    Hope this helps 🙂

Leave a Reply

Your email address will not be published. Required fields are marked *