NCERT solution Class 9 polynomials

NCERT Solutions

Class 9 Maths

Polynomials

NCERT Questions

Ex.2.1 Q.1
Ex.2.1 Q.2
Ex.2.1 Q.3
Ex.2.1 Q.4
Ex.2.1 Q.5
Ex.2.2 Q.1
Ex.2.2 Q.2
Ex.2.2 Q.3
Ex.2.2 Q.4
Ex.2.3 Q.1
Ex.2.3 Q.2
Ex.2.3 Q.3
Ex.2.4 Q.1
Ex.2.4 Q.2
Ex.2.4 Q.2
Ex.2.4 Q.3
Ex.2.4 Q.4
Ex.2.4 Q.5
Ex.2.5 Q.1
Ex.2.5 Q.2
Ex.2.5 Q.2
Ex.2.5 Q.4
Ex.2.5 Q.5
Ex.2.5 Q.6
Ex.2.5 Q.7
Ex.2.5 Q.8
Ex.2.5 Q.9
Ex.2.5 Q.10
Ex.2.5 Q.11
Ex.2.5 Q.12
Ex.2.5 Q.13
Ex.2.5 Q.14
Ex.2.5 Q.15
Ex.2.5 Q.16

Ex.2.2 Q.3

Verify whether the following are zeroes of the polynomial, indicated against them.

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

(2) p(x) = 5x – π, x =

(3) p(x) = x² – 1, x = 1, –1

(4) p(x) = (x + 1) (x – 2), x = – 1, 2

(5) p(x) = x², x = 0

(6) p(x) = lx + m, x = -

(7) p(x) = 3x² - 1, x = - ,

(8) p(x) = 2x + 1, x =

(1) Put x = - , we get

p (-13 ) = 3 × (- ) + 1 = -1 + 1 = 0

Hence, x = - is a zero of the polynomial p(x) = 3x + 1

(2) put x = , we get

p(x) = 5 × – π = 4 – π

Hence, x = 4/5 is a zero of the polynomial p(x) = 5x – π

(3) Put x = 1, we get

p (1) = 1² – 1 = 1 – 1 = 0

Hence, x = 1 is a zero of the polynomial p(x) = x² – 1

Put x = -1, we get

p (1) = (-1)² – 1 = 1 – 1 = 0

Hence, x = -1 is a zero of the polynomial p(x) = x² – 1

(4) Put x = -1, we get

p (-1) = (-1 + 1) (-1 – 2) = 0 × (-3) = 0

Hence, x = -1 is a zero of the polynomial p(x) = (x + 1) (x - 2)

Put x = 2, we get

p (2) = (2 + 1) (2 – 2) = 3 × 0 = 0

Hence, x = 2 is a zero of the polynomial p(x) = (x + 1) (x - 2)

(5) p(x) = x², x = 0

Put x = 0, we get

p (0) = 0² = 0

Hence, x = 0 is a zero of the polynomial p(x) = x²

(6) Put x = - , we get

p (- ) = l × (- ) + m = -m + m = 0

Hence, x = - is a zero of the polynomial p(x) = lx + m

(7) Put x = - , we get

p (- ) = 3 × (- )² – 1 = 3 × – 1 = 1 – 1 = 0

Hence, x = - is a zero of the polynomial 3x² – 1.

Put x = , we get

p ( ) = 3 × ( )² – 1 = 3 × – 1 = 4 – 1 = 3.

It is not equal to zero. Hence, x = 2/√3 is not a zero of the polynomial 3x² – 1.

(8) Put x = , we get

p ( ) = 2 × ( ) + 1 = 1 + 1 = 2

It is not equal to zero. Hence, x = is not a zero of the polynomial 2x + 1.

Video solution:

Polynomials Class 9 Maths NCERT Chapter 2 NCERT Solutions

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NCERT solutions of Polynomials Class 9 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 9 Maths Polynomials NCERT solutions.