Q. 3 B5.0( 2 Votes )

# Verify Whether the following are roots of the polynomial equations indicated against them.

x^{2} + 4x + 3 = 0; x = −1, 2

Answer :

x^{2} + 4x + 3 = 0

let p(x) = x^{2} + 4x + 3

p(-1) = (-1)^{2} + 4(-1) + 3

= 1 – 4 + 3

= 4 – 4 = 0

∴ x = -1 is a root of x^{2} + 4x + 3 = 0

p(x) = x^{2} + 4x + 3 = 0

p(2) = (2)^{2} + 4(2) + 3

= 4 + 8 + 3

= 11 + 4 = 15 ≠ 0

∴ x = 2 is not a root of x^{2} + 4x + 3 = 0.

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Find the zeros of the following polynomials.

i. p(x)= 4x – 1

ii. p(x) = 3x + 5

iii. p(x) = 2x

v. p(x) = x + 9

Tamilnadu Board Math Term-IVerify Whether the following are roots of the polynomial equations indicated against them.

x^{3} – 2x^{2} – 5x + 6 = 0; x = 1, −2, 3

Verify Whether the following are roots of the polynomial equations indicated against them.

x^{2} + 4x + 3 = 0; x = −1, 2

Verify Whether the following are roots of the polynomial equations indicated against them.

x^{2} – 5x + 6 = 0; x = 2, 3

Find the roots of the following polynomial equations.

i. x – 3 = 0

ii. 5x – 6 = 0

iii. 11x + 1 = 0

iv. −9x = 0

Tamilnadu Board Math Term-I