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Mathematics : Polynomials

Short Answer Type

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

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

559 Views

512. For what value of k(– 4) is a zero of the polynomial x² – x – (2k + 2).

119 Views

513. For what value of P, (– 4) is a zero of the polynomial x²–2x– (7p + 3) ?

130 Views

514. If the polynomial 6x⁴ + 8x³ + 17x² + 21x + 7 is divided by another polynomial 3x² + 4x + 1, the remainder comes out to be (ax + b). Find a and b.

516 Views

515. Find all the zeroes of the polynomial x³ + 3x² – 2x –6, if two of its zeroes are

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

840 Views

516. The graph of the polynomial y = ax² + bx + c is shown in the frequency. Write the value of b²–4ac.

101 Views

517. What real number should be subtracted from the polynomial 3x³ + 10x² – 14x + 9, so that the polynomial 3x–2 divides it exactly ?

428 Views

518. Obtain all other zeroes of 3x⁴ – 15x³ + 13x² + 25a: - 30, if two of its zeroes are

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respectively.

202 Views

519. Write the polynomial, the product and some of whose zeroes are

negative 9 over 2 space and space minus 3 over 2

respectively.

116 Views

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

509 Views