# The danish ingolf

By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 96 and q divides the leading coefficient 1. List all candidates \frac{p}{q}.

Bạn đang xem: The danish ingolf

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
By Factor theorem, x-k is a factor of the polynomial for each root k. Divide x^{4}+14x^{3}+71x^{2}+154x+96 by x+1 to get x^{3}+13x^{2}+58x+96. Solve the equation where the result equals to 0.
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 96 and q divides the leading coefficient 1. List all candidates \frac{p}{q}.

Xem thêm: Số Phận Của Tác Giả Bài Thơ ' Bóng Cây Kơ Nia Ra Đời Năm Nào

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
By Factor theorem, x-k is a factor of the polynomial for each root k. Divide x^{3}+13x^{2}+58x+96 by x+6 to get x^{2}+7x+16. Solve the equation where the result equals to 0.

Xem thêm: Tập Làm Văn Trang 91 Lớp 5 : Luyện Tập Thuyết Trình, Tranh Luận

All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Substitute 1 for a, 7 for b, and 16 for c in the quadratic formula. More Items         