How do you write a polynomial of least degree with integral coeffients that has 5, -3 as zeros?
1 Answer
Mar 8, 2018
Explanation:
#"given a polynomial with zeros "x=a" and "x=b#
#"then "(x-a)" and "(x-b)" are it's factors"#
#"the polynomial can then be expressed as"#
#y=k(x-a)(x-b)larrcolor(blue)"k is a multiplier"#
#"here "x=5" and "x=-3#
#rArr(x-5)" and "(x+3)" are the factors"#
#rArry=k(x-5)(x+3)#
#"let k = 1 and expand factors"#
#rArry=x^2-2x-15larrcolor(blue)"is a possible polynomial"#
