Question

is x-3 a zero of the polynomial p(x)=2x3-3x2-11x+6

Answer 1

Answer:

If x-3=0

x= 3

p(x)=2x³-3x²-11x+6

p(3)= 2(3)³-3(3)²-11(3)+6

p(3)= 2(27)-3(9)-33+6

p(3)= 54-27-33+6

p(3)= 0

hope it will help you dear ☺️

Answer 2

Given ,
x=−3 is zero of given polynomial
x+3=0
Now ,
x+3
p(x)
​
=
x−3
2x
2
−3x−2
​




x−3
2x
3
+3x−11x−6
​
=2x
2
−3x−2
2x
2
−4x+x−2=0
2x(x−2)+1(x−2)=0
(2x+1)(x−2)=0
When ,
2x+1=0
x=−
2
1
​

When,
x−2=0
x=2
Hence others two zeroes are 2,−
2
1
​
.


Follow the given picture