Answer:
1. 4 ,5
2. 30
3. 0
1. Given polynomial is
2
−
9
+
20
x
2
−9x+20
By mid term splitting method
2
−
5
−
4
+
20
x
2
−5x−4x+20 =0
x(x-5)-4(x-5) =0 (taking common)
(x-4)(x-5)=0
x-4 =0 and x-5 =0
x=4 and x=5
so the zeroes are 4 ,5
2. p(x) ÷ (x+1)
Put x=-1 in p(x)
p(-1) =
(
−
1
)
2
−
9
(
−
1
)
+
20
(−1)
2
−9(−1)+20 (
(
−
1
)
2
=
1
(−1)
2
=1 )
=1+9+20=30
remainder is 30 when divided by x+1
3. p(4) =
4
2
−
9
(
4
)
+
20
4
2
−9(4)+20 (
4
2
=
16
4
2
=16 )
=16-36+20 = 0