Which of the following is (are) a basis of P (R), the space of polynomials with real coefficients of degreeat most n? (Choose all that apply)O{n}○ {1, x, x², ...,x}(degree of increases by 1 up to n)○ {1, x,x²,...,O {x,x²,...,O {2, x, 3x²,...,xn-1-¹} (degree of increases by 1 up to n - 1),a") (degree of x increases by 1 up to n),2-1} (degree ofincreases by 1 up to n - 1){25, x,x²,..., 34x"}(degree ofincreases up to 1)O {5, 2x, x²,..., 9a} (degree of increases by 1 up to n)

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Which of the following is (are) a basis of P (R), the space of polynomials with real coefficients of d at most n? (Choose all that apply) O{n} O {1, x,x²,...,x}(degree of increases by 1 up to m) ○ {1, x,x²,..., O {x, x²,..., ,a"}(degree of x increases by 1 up to n) O {2, x, 3x²,..., ,2-1} (degree of increases by 1 up to n - 1) O [25, x, x¹,...,34"}(degree of increases up to 1) O {5, 2x, x², ..., 9a} (degree of increases by 1 up to n) -¹} (degree of increases by 1 up to n − 1)

Which of the following is (are) a basis of P (R), the space of polynomials with real coefficients of d at most n? (Choose all that apply) O{n} O {1, x,x²,...,x}(degree of increases by 1 up to m) ○ {1, x,x²,..., O {x, x²,..., ,a"}(degree of x increases by 1 up to n) O {2, x, 3x²,..., ,2-1} (degree of increases by 1 up to n - 1) O [25, x, x¹,...,34"}(degree of increases up to 1) O {5, 2x, x², ..., 9a} (degree of increases by 1 up to n) -¹} (degree of increases by 1 up to n − 1)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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