Degree of Polynomial

Submitted by ladislav.foltyn on Wed, 04/17/2019 - 20:27

Project ID:

5000000041

Accepted:

SubArea:

Template:

Question:

Without multiplying, find the degree of the product of polynomials

p

and

q

Question Row 1:

p (x) = x^{4} + 2 x^{3} - 3 x + 1

q (x) = 5 x^{7} - 3 x^{4} + 12 x^{3} - 3 x + 5

Answer Row 1:

11

7

4

28

Question Row 2:

p (x) = 7 - x^{6} - 2 x^{7} + x^{10}

q (x) = 2 - 5 x - 2 x^{2} + 4 x^{3}

Answer Row 2:

13

10

3

30

Question Row 3:

p (x) = \sqrt{2} x - 1

q (x) = 3 \sqrt{2} x

Answer Row 3:

2

1

0

3

Question Row 4:

p (x) = x^{100} - x^{99}

q (x) = 2 x^{99}

Answer Row 4:

199

990

100

99

Question Row 5:

p (x) = x^{7} + x^{10} - x^{9}

q (x) = 1 - 2 x - 5 x^{7} + 3 x^{2}

Answer Row 5:

17

7

10

9

Question Row 6:

p (x) = 4 x^{3} + 2 x^{2} - 10 x + 6

q (x) = \frac{1}{2} x^{4} - \frac{1}{2}

Answer Row 6:

7

4

12

3

Question Row 7:

$p(x)=\sqrt3x^4-2$\\ $q(x)=\sqrt3x^6+1$

Answer Row 7:

10

6

4

24

Question Row 8:

p (x) = - x^{4} - \sqrt{2} x^{3}

q (x) = - x^{3} - \sqrt{3} x^{2}

Answer Row 8:

7

4

3

12

Tex:

% tiket 32668 \MsrTabulka[1pt]{0.5\linewidth}{0.5\linewidth} \pocetsloupcu{4}

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