Select the correct statement from the following: from Mathemati

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Polynomials

Multiple Choice Questions

551.

if $straight p left parenthesis straight x right parenthesis equals 2 plus straight x over 2 plus straight x squared minus straight x cubed over 3$ , then p(- 1) is

$15 over 6$
$17 over 6$
$1 over 6$
$1 over 6$

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552.

Product of a $open parentheses straight x minus 1 over straight x close parentheses open parentheses x plus 1 over x close parentheses open parentheses x squared plus 1 over x squared close parentheses$ ix:

$x to the power of 4 1 over x to the power of 4$
$x cubed plus 1 over x cubed minus 2$
$x to the power of 4 minus 1 over x to the power of 4$
$x to the power of 4 minus 1 over x to the power of 4$

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553. Degree of which of the following polynomials is zero?

x
15
y
y

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554. What is remainder when x³ - 2x² + x + 1 is divided by (x - 1)?

0
- 1
4
4

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555. The coefficient of x² in (3x + x³)

open parentheses straight x plus 1 over straight x close parentheses

is:

3
1
4
4

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556. The zeros of the polynomial p(x) = (x - 6) (x - 5) are:

-6, -5
-6, 5
6, - 5
6, - 5

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557. The remainder obtained when the polynomial p(x) is divided by (b - ax) is:

$straight p open parentheses negative straight b over straight a close parentheses$
$straight p open parentheses straight a over straight b close parentheses$
$straight p open parentheses straight b over straight a close parentheses$
$straight p open parentheses straight b over straight a close parentheses$

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558. Select the correct statement from the following:
Degree of a zero polynomial is zero.
Degree of a zero polynomial is not defined.
Degree of a zero polynomial is not defined.
Degree of a zero polynomial is not defined.

B.

Degree of a zero polynomial is not defined.

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559. The degree of the polynomial p(x) = (x - 7)³ - x³ is:

3
2
1
1

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560. If p(x) = 3x - 7, then p(x) + p(-x) is:

7
6x
0
0

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