Question

x3+2x+3
factories the following​

Answer 1

Step-by-step explanation:

1.1 Find roots (zeroes) of : F(x) = x3-2x-3

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 -3.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,3

Answer 2

Answer:

Let p(x) = x³ + 2x + 3

Now, we have to find the zeros of p(x)

Let's try with x + 1

x + 1 =0

x = -1

p(-1) = (-1)³ + 2(-1) + 3

= - 1 - 2 + 3

= 3 - 3

= 0

therefore, x + 1 is a factor of p(x)

x³ + 0x² + 2x + 3

= x³ + x² - x² -x + 3x + 3

= x² (x + 1) - x (x + 1) + 3(x + 1)

= (x + 1) (x² - x + 3)

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