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Mathematics : Polynomials

Short Answer Type

391. Find the zeroes of the quadratic polynomial 6x² – 3.

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392. Find a quadratic polynomial, the sum and product of its zeroes are :

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393. Find a quadratic polynomial, the sum and product of its zeroes are:

1 fourth comma space minus 1.

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394. The graph of y = p(x) is given below. Find the number of zeroes of p(x).

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395. The graph of y = x² is given below. Find the number of zeroes.

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396. Verify that the given numbers given alongside of the cubic polynomial below are their zeroes

2 straight x cubed plus straight x squared minus 5 straight x plus 2 space semicolon space space space 1 half comma space space 1 space and space minus 2.

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397. Verify that the given number given alongside of the cubic polynomial below are their zeroes

9 straight t cubed minus 4 straight t semicolon space 0 comma space 2 over 3 space and space fraction numerator negative 2 over denominator 3 end fraction.

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398. If α and β are the zeroes of the quadratic polynomial p(x)= x² – px + q. Find the value of

space 1 over straight alpha plus 1 over straight beta.

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399. Show that polynomial x² + 6x + 10 has no zero.

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400. If (x–K) is a factor of the polynomial x³–Kx²+ x – 2, find the value of ‘K’.

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