Question

Solve for (3x-5) as a factor of 15x³-7x²-51x+35

Answer 1

Step-by-step explanation:

3x-5=0

x=5/3

p(x)=15x³-7x²-51x+35

p(5/3)=15(5/3)³ -7(5/3)²-51(5/3)+35

=15(125/27) -7(25/9) -255/3+35

=625/9-175/9-85+35

=625/9-175/9-50

=625-175-450/9

=0/9

=0

therefore,(3x-5) is a factor of p(x)