if (x+1) and (x+2) are both factors of x^3+ax^2+bx-10 , find the values of a and b help !
- print Print
- list Cite
Expert Answers
Pauline Sheehan
| Certified Educator
calendarEducator since 2012
write2,388 answers
starTop subjects are Literature, Math, and Social Sciences
As we have (x+1) (x+2) we can use substitution to solve and find the third factor. Remember that these factors are true when y or f(x) = 0
x^3+ax^2+bx-10 Substitute the two values you have (x=-1; x= -2)
`f(-1)= (-1)^3 + a(-1)^2 + b(-1) - 10`
`therefore 0= -1 +a - b - 10` multiply this line by 2. You'll see...
(The entire section contains 182 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- ax^2 + bx + c = ( x-2)(x+5) find the values of a, b and c:
- 1 Educator Answer
- The polynomial p(x) = x^3 + x - 10. Show x-2 is a factor of p(x) and express p(x) in the form...
- 1 Educator Answer
- Solve for x, a/(ax-1) + b/(bx-1) = a+b
- 1 Educator Answer
- What are a and b if f(x)=ax^3+bx^2+1 has a point of inflection at (-1,2)?
- 1 Educator Answer
- If ax³+3x²+bx-3 has a factor (2x-3) and leaves a remainder -3 when divided by (x+2), find the...
- 1 Educator Answer