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Polynomials

Short Answer Type

61. Find the zero of the polynomial px + q + r.

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62. If p(x) = 5x³ - 2x² + 3x - 2, then find the values of p(1) and p(0). Also, find the value of p(-1).

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63. Determine whether the indicated numbers are zeroes of the given polynomial?

g(x) = 3x² - 2;

straight x equals fraction numerator 2 over denominator square root of 3 end fraction comma space minus fraction numerator 2 over denominator square root of 3 end fraction

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64. Determine whether the indicated numbers are zeroes of the given polynomial?

f(x) = x³- 6x²+ 11x - 6; x = 1, 3

We have
8(x) = 3x²- 2
f(x) = x³- 6x²
f(1) = (1)³- 6(1)² + 11 (1) - 6 = 0
$therefore$ x = 1 is a zero f f(x)

f(3) = (3)³- 6(3)²+ 11(3) - 6
= 27 - 54 + 33 - 6 = 0
$therefore$ x = 3 id s zero of f(x)

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65. Find the value of the polynomial

straight p left parenthesis straight z right parenthesis equals 3 straight z squared minus 4 straight z plus square root of 17

when z =3.

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66. If x = -2 is the root of the equation

square root of 5 space left parenthesis x plus p right parenthesis equals 0

and is also the zero of the polynomial

px squared plus kx plus 2 square root of 2 comma

then find the value of k.

143 Views

67. Find the value of each of the following polynomials at the indicated value of variables:

p(x) = 5x² - 3x + 7 at x = 1

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68. Find the value of each of the following polynomials at the indicated value of variables:

q(y) = 3y³ - 4y +

square root of 11

at y = 2

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69. Find the value of each of the following polynomials at the indicated value of variables:

p(t) = 4t⁴ + 5t³- t² + 6 at t = a

245 Views

70. Check whether - 2 and 2 are zeroes of the polynomial x + 2.

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Previous Year Papers

Test Series

Test Yourself

Short Answer Type

64. Determine whether the indicated numbers are zeroes of the given polynomial?f(x) = x3 - 6x2 + 11x - 6; x = 1, 3

64. Determine whether the indicated numbers are zeroes of the given polynomial?

f(x) = x³- 6x²+ 11x - 6; x = 1, 3