Question

Add the following polynomials and find the degree of the resultant polynomial.
(i) p(x) = 6r'- 7x + 2
q4x) = ár' - 7x + 15
li h(x) = 7.rº - Or + 1
f1.7) = 7x + 178-9
(Hit K(x) = 168 – 58° +9 8(.x) = - Gr' + 7x - 15
fubtract the second polynomial from the first polynomial and find the degree of​

Answer 1

Answer:

1)p(x)+g(x)=6x

2

−7x+2+6x

3

−7x+15

=6x

3

+6x

2

−14x+17

degree3

\begin{gathered}h(x) + f(x) = 7 {x}^{3} - 6x + 1 + 7 {x}^{2} + 17x - 9 \\ = 7 {x}^{3} + 7 {x}^{2} + 11x - 8 \\ degree \: 3\end{gathered}

h(x)+f(x)=7x

3

−6x+1+7x

2

+17x−9

=7x

3

+7x

2

+11x−8

degree3

\begin{gathered}f(x) + g(x) = 16 {x}^{5} + {x}^{4} - 5 {x}^{2} + 9 - 6 {x}^{3} + 7x - 15 \\ = 16 {x}^{5} + {x}^{4} - 6 {x}^{3} - 5 {x}^{2} + 7x - 6 \\ degree \: 5\end{gathered}

f(x)+g(x)=16x

5

+x

4

−5x

2

+9−6x

3

+7x−15

=16x

5

+x

4

−6x

3

−5x

2

+7x−6

degree5

Step by Step explanation :

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