Question

anybody in class 9th so plzzz give math ex.2.2 ques 3 answer plzz​

Answer 1

Answer:

I think it helps you ⬆️⬆️

Step-by-step explanation:

Please mark it as brainlist answer ✍️✍️

Answer 2

Step-by-step explanation:

i) p(x) = 3x + 1 , x = - 1/3

If x = - 1/3 is a zero of given polynomial

p(x) = 3x+1 , then p ( -1/3 ) should be 0 .

p( -1/3 ) = 3 × ( -1/3 ) + 1 = - 1 + 1 = 0

Yes , - 1/3 is a zero of given polynomial .

Here , p ( -1/3 ) = 3 ( -1/3 ) + 1 = - 1 + 1 = 0

Therefore , is a zero of the given polynomial .

ii) p(x) = 5x - π , x = 4/5

If x = -4/5 is a zero of polynomial

p(x) = 5x - π , then p ( - 4/5 ) should be 0 .

Here , p ( 4/5 ) = 5 ( 4/5 ) - π = 4 - π

As p( 4/5 ) not equal 0 .

Therefore , x = 4/5 is not a zero of the given polynomial .

iii) p(x) = x^2 - 1 , x = 1 , - 1

If x = 1 and x = - 1 are zeroes of polynomial , p(x) = x^2 - 1 , then p (1) and p (-1) should not be 0 .

Here , p (1) = (1) ^2 - 1 = 0 and

p ( -1 ) = ( -1 ) ^ 2 - 1 = 0

Hence , π - 1 and -1 are zeroes of given polynomial .

iv) p(x) = ( x + 1 ) ( x - 2 ) , x = - 1 , 2

If x = - 1 and x - 2 are zeroes of polynomial

p(x) - ( x + 1 ) ( x - 2 ) , then p(-1) and p(2) should be 0 .

Here , p(-1) = (-1+1) (-1-2) = 0 (-3) = 0 , and p(2) - (2+1)(2-2) =3 (0) = 0 .

Therefore , x = -1 and x = 2 are zeroes of given polynomial.

v) p(x) = x^2 , x = 0

If x = 0 is a zero of polynomial p(x) = x^2 , then p(0) should be zero .

Here , p(0) = (0) ^2 = 0

Hence , x=0 is a zero of given polynomial .

vi) p(x) = 1m + m , x = - m / 1

If p(-m/1) is a zero of polynomial p(x) = 1x + m , then p ( -m/1 ) should be 0 .

Here , p(-m/1) = 1(-m/1) + m = - m + m = 0

Therefore x= -m/¹ , is a zero of given polynomial.

vii) p(x) = 3x^1 , x= -1/√3 , 2/√3

If x=-1/√3 and x=2/√3 are zeroes of polynomial

p(x) = 3x^2 - 1 , then p ( -1/√3 ) and p(2/√3) should be 0.

Here p(-1/√3) = 3(-1/√3)^2 - 1 = 3 (1/3) - 1 = 1 - 1 = 0 , and p(2/√3) = 3(2/√3)^2 - 1 = 3(4/3) - 1 = 4 - 1 = 3

Hence , x = -1/√3 is a zero of given polynomial

However , x = 2/√3 is not a zero of given polynomial .

viii) p(x) = 2x + 1 , x = 1/2

If x = 1/2 is a zero of polynomial p(x) = 2x+1 , then p(1/2) should be 0.

Here , p(1/2) = 2(1/2) + 1 = 1 + 1 = 2

As p(1/2) not equal 0.

Therefore , x = 1/2 is not a zero of given polynomial.