130k views
5 votes
I will give 100 points if you can help me

(5x^3+3x^2+1)-(2x^3-x^2+3)
Please show all work and explain

1 Answer

5 votes

Answer:

3x ^3 +4x^2 −2

Explanation:

STEP

1

: Equation at the end of step 1

(((5•(x3))+(3•(x2)))+1)-((2x3-x2)+3)

STEP 2 Equation at the end of step

(((5•(x3))+3x2)+1)-(2x3-x2+3)

STEP 3 :

Equation at the end of step

((5x3 + 3x2) + 1) - (2x3 - x2 + 3)

STEP

4:

Polynomial Roots Calculator :

4.1 Find roots (zeroes) of : F(x) = 3x3+4x2-2

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 3 and the Trailing Constant is -2.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,2

Let us test ....

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

-1 1 -1.00 -1.00

-1 3 -0.33 -1.67

-2 1 -2.00 -10.00

-2 3 -0.67 -1.11

1 1 1.00 5.00

1 3 0.33 -1.44

2 1 2.00 38.00

2 3 0.67 0.67

Hope This Helps

User Tobiasz
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.