﻿ Is x = 1 a zero of polynomial x3– a2 – x + 1 ? from Mathematics Polynomials Class 10 Uttarakhand Board
Is x = 1 a zero of polynomial x3– a2 – x + 1 ?

Let At the value of p(x) is Hence, x = 1 is a zero of polynomial x3 – a2 - x + 1.

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If sum of the squares of zeroes of the quadratic polynomial p(x) = x2 – 8x + K is 40, find the value of K.

We have,
p(x) = x2 – 8x + K
Let α and β are the zeroes of the quadratic polynomial, then
Sum of zeroes  And,
Product of zeroes We have,       Hence,   K = 12.
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Find the sum and product of the zeroes of the quadratic polynomial:
p(x) = abx2 + (b2 – ac) x – bc.

We have,
p(x) = abx2 + (b2 – ac) x – bc
Let α and β be the zeroes of the quadratic polynomial p(x), then
Sum of the zeroes  And product of the zeroes   98 Views

Find the zeroes of the quadratic polynomial x2 – 5x + 6, and verify the relationship between the zeroes and the coefficients.

We have x2 – 5x + 6 – x2 – 3x – 2x + 6
= (x – 3) (x – 2)
So, the value of x2 – 5x + 6 is zero when x - 3 = 0 or x – 2 = 0
i.e., when x = 3 or x = 2
Therefore, the zeroes of x2 – 5x + 6 are 3 and 2.
Sum of zeroes = = Product of zeroes 512 Views

Check whether the polynomial x2 + 4x + 5 has zeroes. If yes, find zeroes of the polynomial.

Solution not provided.

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If α, β are the zeroes of the polynomial p(x) = 4x2 + 3x + 7. Find the value of We have,
p(x) = 4x2 + 3x + 7, then
Sum of the zeroes (α + β) And, product of the zeroes (α. β) Now,  Ans.
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