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Q #6

⏰ 00:00

CAT Polynomials - Finding the Roots

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If x⁴ � 8x³ + ax² � bx + 16 = 0 has positive real roots, find a � b.

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-8

That's right

That's Wrong

-12

That's Wrong

-14

That's Wrong
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Solution

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Q #7

⏰ 00:00

CAT Polynomials - Remainders

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4x³ + ax² � bx + 3 divided by x � 2 leaves remainder 2, divided by x + 3 leaves remainder 3. Find remainder when it is divided by x + 2.

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29.2

That's Wrong

26.8

That's Wrong

35.2

That's right

32.2

That's Wrong
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Solution

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Q #8

⏰ 00:00

CAT Polynomials - Factors

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How many of the following are factors of 3²⁰⁰ � 5¹⁰⁰?
1. 7
2. 16
3. 53
4. 12

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That's right

That's Wrong

All of the above

That's Wrong

That's Wrong
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Solution

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Q #9

⏰ 00:00

CAT Polynomials - Roots

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x³ � 18x² + bx � c = 0 has positive real roots, p, q and z. If geometric mean of the roots is 6, find b.

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-216

That's Wrong

108

That's right

-72

That's Wrong

That's Wrong
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Solution

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Q #10

⏰ 00:00

CAT Polynomials - Cubic Equation

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What is the value of 27x³ + 18x²y + 12xy² + y³ when x = 4, y = � 8?

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1984

That's right

256

That's Wrong

512

That's Wrong
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Solution

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