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Polynomials

Long Answer Type

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

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Short Answer Type

402. Check Which one of 2 and -2 is zero of the polynomial x² – 5x + 6 ?

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403. Find the point at x-axis on which linear equation y = 5x + 4 intersects.

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404. Find the point at x-axis on which linear equation y = 3x + 6 intersects.

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405. Write the nature of the graph for a quadratic polynomial of type ax² + bx + c; a ≠ 0.

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406. Write the nature of the graph for a linear polynomial at type ax + b, a ≠ 0.

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407. Find the number of zeroes in the following linear polynomial of graphically.
2x – 7

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408. Represent the zeroes of the quadratic polynomial x² – 8x +12 graphically.

Let y = x² – 8x + 12 We have following table for the given polynomial

x	1	2	3	4	5	6	7
v	5	0	-3	–4	-3	0	5

The graph of the equations y = x² – 8x + 12 is are upward parabola, which is intersects the x-axis in two points (2, 0) and (6, 0)
Therefore, the given polynomial was two zeroes.
Let y = x2 – 8x + 12 We have following table for the given polynom