Question

label each of the following statements as true of false. if false, replace the underlined words to produce a true statement.

Chapten Reore Label each of the following statements as true or false. If false, replace the underlined word(s) to produce a true statement. 9. tr ve Adding polynomials will always yield a polynomial answer. Subtracting polynomials will yield a polynomial if and only if their leading coefficients are opposites. thun uadina Coficerts ant additive 10 lr unverscs true The product of two polynomials will be a polynomial regardless of the signs of the leading coefficients of the polynomials. 11 true The Remainder Theorem states that if a polynomial, fx), is divided by (x-k). then the remainder, r, is the value of f(k). 12 faler By the Factor Theorem, if fk)=0 for a polynomial fx), then the polynomial has a factor (x+k).the polurnomua hes a X-KS 13. facton According to the Rational Zero Theorem, the possible rational zeros for fx) 4x-3x+ 2 are +1,12, and +4. 14. 15. According to the Fundamental Theorem of Algebra, the function ix) 2x- +7 has exactly three solutions. (over) 11

Answer 1

1 5 According to the fundamental Theorem of Algebra, the function f(x) = 2x * - 7 8 x + 7 hes exactly thele solutions False According to the fundamental Theorem of Algebra, the funcion flu) = 2x - 4x +7 has y solutions, real or imaginary. 1x) = 42-32 +2 possible Rational was for f(x) = factors of 2 Factors of - 21,72 #1, #2, 24 i possible rational wros for f(x) = +1, +2, + 1 2 + 1/4 false. According to Rational Zero Theorem, the possible rational zeros for f(x)= x -3x+2. are 11, +2, + \ ,