Question

2x^4-7x^3-13x^2+63x-45​

Answer 1

Answer:

(x+3)⋅(x−1)⋅(x−3)⋅(2x−5)

Step-by-step explanation:

Answer 2

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((((2•(x4))-(7•(x3)))-13x2)+63x)-45

STEP

2

:

Equation at the end of step

2

:

((((2•(x4))-7x3)-13x2)+63x)-45

STEP

3

:

Equation at the end of step

3

:

(((2x4 - 7x3) - 13x2) + 63x) - 45

STEP

4

:

Polynomial Roots Calculator :

4.1 Find roots (zeroes) of : F(x) = 2x4-7x3-13x2+63x-45

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 -45.

The factor(s) are:

of the Leading Coefficient : 1,2

of the Trailing Constant : 1 ,3 ,5 ,9 ,15 ,45

Let us test ....

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

2x4-7x3-13x2+63x-45

can be divided by 4 different polynomials,including by 2x-5