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Polynomials

Short Answer Type

331.
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

t² - 15

We have,

So, the value of is zero when = 0 or
i.e., when

Therefore, the zeroes of t² – 15 are

Now,
Sum of zeroes =

Product of zeroes =
=

919 Views

332. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

3 straight x squared minus straight x minus 4.

167 Views

333. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

space 1 fourth comma space minus 1

170 Views

334. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

square root of 2 comma space 1 third

684 Views

335. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

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249 Views

336. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
1, 1

274 Views

337. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

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266 Views

338. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
4, 1

163 Views

339. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
p(x) = x³ – 3x² + 5x – 3, g(x) = x²– 2

172 Views

340. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x

128 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

331. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. t2 - 15

331.
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

t² - 15