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