Find the zero polynomial
1. P(x) = 5x
+ 7 at x = -1/5
Sol. P(x)
= 5x + 7
Put x =
-1/5
P(-1/5) =
5*(-1/5) + 7 = – 1 + 7 = 6
Is not a
zero polynomial.
2. P(x) = 5x
+ 1 at x = -1/5
Sol. P(x)
= 5x + 1
Put x =
-1/5
P(-1/5) =
5*(-1/5) + 1 = -1 + 1 = 0
It is a zero polynomial
3). P(x) = 3x^2 – 3 at x = 1
Sol. P(x) = 3x^2 – 3
Put x = 1
P(1) =
3*(1)^2 - 3
=
3 -3 = 0
It is a zero polynomial
4). P(x) = (x + 3)(x + 4) at x = -3
Sol. P(x) = (x + 3)(x + 4)
Put x = -3
P(-3) =
(-3 + 3)(-3 + 4)
=
0* 1 = 0
It is a zero polynomial
5). P(x)
= 3x^2 at x = 2
Sol. P(x) = 3x^2
Put x = 2
P(2) =
3*(2)^2
=
3*4 = 12
Is not a
zero polynomial.
6). P(x)
= 5x^2 – 5 at x = 1
Sol. P(x) = 3x^2
Put x = 1
P(1) =
5*(1)^2 - 5
=
5 – 5 = 0
It is a
zero polynomial.
7. P(x) = 3x
- 3 at x = 1
Sol. P(x)
= 3x - 3
Put x = 1
P(1) = 3*1
– 3 =0
It is a
zero polynomial.
8). P(x)
= 3x^2 – 5 at x = 1
Sol. P(x) = 3x^2
Put x = 1
P(1) =
3*(1)^2 - 5
=
3 – 5 = -2
Is not a
zero polynomial.
Find the value of x
1. P(x) = 5x
+ 7
Sol. P(x)
= 5x + 7
Put 5x + 7
= 0
5x = -7
x = -7/5
2. P(x) = 5x
+ 1
Sol. P(x)
= 5x + 1
Put 5x + 1
= 0
5x = -1
x = -1/5
3). P(x)
= 3x^2 – 3
Sol. P(x)
= 3x^2 – 3
Put 3x^2 –
3 = 0
3x^2 = 3
x^2 = 1
x = 1
4). P(x)
= (3x + 3)
Sol. P(x)
= (3x + 3)
Put 3x + 3
= 0
3x = -3
x = -1
5). P(x)
= 7x
Sol. P(x)
= 7x
Put 7x = 0
x = 0
6). P(x)
= bx
Sol. P(x)
= bx
Put bx = 0
x = 0
7). P(x)
= bx - c
Sol. P(x)
= bx - c
Put bx - c
= 0
bx = c
x = c/b
8). P(x)
= ax + b
Sol. P(x)
= ax + b
Put ax + b
= 0
ax = -b
x = -b/a
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