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.

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

- 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)

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 🙂