Help with Algebra 2 please ?? ___ Adding polynomials will always yield a polynom

Question

Help with Algebra 2 please ?? ___ Adding polynomials will always yield a polynomial answer. ___ Subtracting polynomials will yield a polynomial if and only if their leading coefficients are opposites. ___ The product of two polynomials will he a polynomial regardless of the signs of the leading coefficients of the polynomials. ___ The Remainder Theorem stales that if a polynomial, f (x), is divided by (x - k), then the remainder, r, is the value of f (k). ___ By the Factor Theorem, if f (k) = 0 for a polynomial f (x), then the polynomial has a factor (x + k). ___ According to the Rational Zero Theorem, the possible rational zeros for f (x) = 4x^3 - 3x + 2 are plusminus 1, plusminus 2, and plusminus 4. ___ According to the Fundamental Theorem of Algebra, the function f (x) = 2x^4 - 1/3x^2 + 7 has exactly three solutions.

Explanation / Answer

9.true

10.true

11.true

12.true

13.false, to make it true (x+k) must be replaced with (x-5)

14.false correct response +- 1 +- 2 +- 1/2 +-1/4

15 . false to make it true ( replace three with four)

highest degree of given equation is 4

then it has 4 roots

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