If α and β are the zeroes of the polynomial p(x) = x² + x + 1, find the value of α² + β².

If –3 is one of the zeroes of the polynomial (k– 1)x² + k x + 1, find the value of k.

What will be number of zeroes of the polynomials whose graphs are either touching or intersecting the axis only at the points: (i) (–3, 0), (0, 2) & (3, 0) (ii) (0, 4), (0, 0) and (0, –4).

Divide 2x² + x – 20 by x + 3 and verify division algorithm.What will be the number of zeroes of the polynomials whose graphs are parallel to (i) y-axis (ii) x-axis.For this example, the point of zero movement was determined by trial and. If α and 1/α are zeroes of 4x² – 17x + k – 4, find value of k. One of the major advancements in bridge construction in the United States in.If α and β are zeroes of polynomial 6x² – 7x – 3, then form a quadratic polynomial where zeroes are 2α and 2β.

What will be the number of real zeroes of the polynomial x² + 1?.How many (i) maximum (ii) minimum number of zeroes can a quadratic polynomial have?.If one zero of the polynomial (a² + 9)x² + 13x + 6a is the reciprocal of the other, find the value of a.Important Questions with Answers on Polynomials

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