Solve the equation x^3-5x^2+7x-3=0

First start by considering the x0 coefficient which is -3. These include ±3 and ±1. Substituting x=1 into the polynomial produces an answer of 0 which shows that x=1 is a factor of the polynomial. Therefore x3-5x2+7x-3 = (x-1)(ax2+bx+c). As the x^3 coefficient =1, a must therefore also =1. -c =-3 as the x0 coefficient is 3, so c =3 and equation x coefficients gives 7=-b+c so b=-4. Factorising x2 -4x+3 gives (x-3)(x-1). The solutions of the equation are therefore x=1 and x=3.

AL
Answered by Annabelle L. Maths tutor

7153 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise fully 6xyz + 24x^2yz + 18xy^3z^2


If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?


In a sale the price of a shirt is reduced by 60%. The sale price is £7.98. What is the original price?


In trigonometry , how do you find the angles of a right angle triangle?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences