Find the zero polynomial and value of x


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.

 
maths-ncert-solution, maths tricks
maths-ncert-solution

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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Milan Tomic

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