Sunday

November 23, 2014

November 23, 2014

Posted by **Algebra Help** on Monday, May 7, 2007 at 8:28pm.

40x^2+2x-65

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)

**Answer this Question**

**Related Questions**

Liberal Arts Math - how would i solve this problem?? it says factor the ...

algebra!!!! please help me!!!! - A number is called algebraic if there is a ...

math - 1.binomial 2.degree of monomial 3.monomial 4.perfect-square trinomial 5....

algebra - the sum of two polynomials is 40x^5-2x^4+x^3-7x^2-1. if the polynomial...

Math (Algebra) - A number is called algebraic if there is a polynomial with ...

Math - The question is this: You know that a number is divisible by 6 if it is ...

math - If the digits of a number may be any one of 0 through 9 (except the first...

math - If the digits of a number may be any one of 0 through 9 (except the first...

math - If the digits of a number may be any one of 0 through 9 (except the first...

math - You can use the prime factorization of a number, written as the product ...