Question

please its urgent
Verify that 1 ,-2 and ½ are the zero of 2x³-1x²-5x+2 .Also verify the relationship between zeros and
coefficient
and I don't have rd Sharma please it is so much urgent​

Answer 1

Answer:

kallkalll maa kasudru

Answer 2

Answer:

2x³-1x²-5x+2

Thus, 1/2, 1 and -2 are the zeroes of the given polynomial.

Comparing the given polynomial with ax3 + bx2 + cx + d, we get a=2, b=1, c=-5, d=2

Also, α = 1/2, β = 1 and γ = -2

Now,

-b/a = α+β+γ

⇒ 1/2 = 1/2 + 1 - 2

⇒ 1/2 = 1/2

c/a = αβ+βγ+γα

⇒ -5/2 = (1/2 × 1) + (1 × -2) + (-2 × 1/2)

⇒ -5/2 = 1/2 - 2 - 1

⇒ -5/2 = -5/2

-d/a = αβγ

⇒ -2/2 = (1/2 × 1 × -2)

⇒ -1 = 1

Thus, the relationship between zeroes and the coefficients are verified.

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