Algebra polynomial
posted by Algebra Help .
Solve the polynomial
40x^2+2x65
Notice that for x = 1 the value is 23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal by substituting:
x = 1 + t which yields
40 t^2 + 82 t  23 =
(10 t + 23) (4 t  1)
You then substitute back x by putting
t = x  1:
(10 t + 23) (4 t  1) =
(10 x + 13) (4 x  5)
Respond to this Question
Similar Questions

maths
4x+3y=21 What is your question? You have simply stated the equation of a straight line. what is a prime factorazation? 
Liberal Arts Math
how would i solve this problem?? it says factor the polynomial completely: 2xy3y40x+60 I studied polynomials, but I don't know what it means to factor them. Do you have a definition in your textbook or notes or something? 
math
1.binomial 2.degree of monomial 3.monomial 4.perfectsquare trinomial 5.standard form of polynomial A.a polynomial with two terms B.a polynomial in which the terms decrease in degree from left to right and there are no like terms C.a … 
algebra
the sum of two polynomials is 40x^52x^4+x^37x^21. if the polynomial is the square of (x^27x+1), find the other polynomial 
math
If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial … 
math
If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial … 
math
If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial … 
Math (Algebra)
A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example,√2 is algebraic because it is a root of the polynomial x^2−2. The number √2+√3+√5 … 
algebra!!!! please help me!!!!
A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is … 
Math
consider the polynomial (xa)(xb)and the real number line Identify the points on the line where the polynomial is zero. In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which …