Math, asked by ytmeltinash, 2 months ago

show that (2x - 3) is factor of (x - 3x2 + 4x - 15)

Answers

Answered by pawandakshgupta
0

Step-by-step explanation:

Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

0-(-2*x^3+3*x^2+4*x+15)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

0-((((0-(2•(x3)))+3x2)+4x)+15) = 0

STEP

2

:

Equation at the end of step

2

:

0 - ((((0 - 2x3) + 3x2) + 4x) + 15) = 0

STEP

3

:

Checking for a perfect cube

3.1 2x3-3x2-4x-15 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3-3x2-4x-15

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -4x-15

Group 2: 2x3-3x2

Pull out from each group separately :

Group 1: (4x+15) • (-1)

Group 2: (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = 2x3-3x2-4x-15

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

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