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Polynomials

Long Answer Type

441. Find all the zeros of the polynomial 2x⁴ + 7x³ – 19x² – 14x + 30, if two of its zeros are

square root of 2 space and space minus square root of 2

3131 Views

Short Answer Type

442. What real number should be subtracted from the polynomial 3x² + 10x²– 14x + 9, so that the polynomial 3x– 2 divides it exactly ?

134 Views

Long Answer Type

443.

Find all other zeroes of $straight x to the power of 4 plus straight x cubed minus 23 straight x squared minus 3 straight x plus 60 comma$ if it is given that two of its zeroes are $square root of 3 space and space minus square root of 3.$

113 Views

444. If the polynomial 6x⁴ + 8x³ – 5x² + ax + b is exactly divisible by the polynomial 2x² – 5, then find the values of a and b.

243 Views

445. Find all the zeroes of the polynomial

negative 2 square root of 2 straight x cubed minus 18 straight x squared plus 24 square root of 2 straight x plus 72

given that

2 square root of 3 space straight x to the power of 4 space and space minus 2 square root of 3

are two of its zeroes.

222 Views

Short Answer Type

446.
Draw the graph of y = x²–x and find the zeroes.

Solution not provided.

122 Views

447. Draw the graph of the quadratic polynomial y = x² – 1. Find the zeroes from the graph.

158 Views

448. Draw the graph of the cubic polynomial y = x³ – 1. Find the zeroes from the graph.

165 Views

449. Draw the graph of the linear polynomial y = 2x. Find the zeroes from the graph.

139 Views

450. Draw the graph of the linear equation y = 6 - 2x. Find the zeroes from the graph.

118 Views

Previous Year Papers

Test Series

Test Yourself

Long Answer Type

Short Answer Type

Long Answer Type

Short Answer Type

446. Draw the graph of y = x2 –x and find the zeroes.

446.
Draw the graph of y = x²–x and find the zeroes.