Add the polynomials.

$(5{x}^{4}+7{x}^{3}+2{x}^{2}+25x-9)+(6{x}^{4}-9{x}^{3}+8{x}^{2}-17x+5)$

Armorikam
2021-09-08
Answered

Add the polynomials.

$(5{x}^{4}+7{x}^{3}+2{x}^{2}+25x-9)+(6{x}^{4}-9{x}^{3}+8{x}^{2}-17x+5)$

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smallq9

Answered 2021-09-09
Author has **106** answers

We need to add the following polynomial

$(5{x}^{4}+7{x}^{3}+2{x}^{2}+25x-9)+(6{x}^{4}-9{x}^{3}+8{x}^{2}-17x+5)$

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a) Prove that the set $\beta =\{{p}_{0}\left(x\right){p}_{1}\left(x\right),\dots ,{p}_{n}\left(x\right)\}$ of Lagrange polynomials is linearly independent in ${P}_{n}\left(b\right)$ . Deduce that $\beta$ basis for $P}_{n$

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Add polynomials:

$f\left(x\right)=2{x}^{3}+5{x}^{2}-3x+4$

$g\left(x\right)={x}^{5}-2{x}^{2}-1$

$f\left(x\right)+g\left(x\right)=$