Two factors of ax^3 + bx^2+ cx - 2 are (x + 1) and (2x +1). The remain

1.	Two factors of ax^3 + bx^2+ cx - 2 are (x + 1) and (2x +1). The remainder when theexpression is divided by x + 2 is -12. What is the third factor of the expression?Please solve this
Answer» Answer: Step-by-step explanation:You have asked similar questions. You should know by now that x+1 or x-1 MUST be a factor if it can be done with integers at all (because the coefficients must DIVIDE leading and trailing coefficients of your polynomial). Also in that case x = 1 or x = -1 should be roots of the polynomial. And yes, x = -1 is a root. So x^3 + 2X^2 + 2x + 1 = (x+1)(x^2 + ?x + 1) and you should very easily find the value of ? that MAKES the other terms of the PRODUCT work out. Now you have a quadratic to factor which is not possible with integers. But you can find the factors by solving a quadratic equation. Hint:

Two factors of ax^3 + bx^2+ cx - 2 are (x + 1) and (2x +1). The remainder when theexpression is divided by x + 2 is -12. What is the third factor of the expression?Please solve this

Answer»

Answer:

Step-by-step explanation:You have asked similar questions. You should know by now that x+1 or x-1 MUST be a factor if it can be done with integers at all (because the coefficients must DIVIDE leading and trailing coefficients of your polynomial). Also in that case x = 1 or x = -1 should be roots of the polynomial. And yes, x = -1 is a root.

So x^3 + 2X^2 + 2x + 1 = (x+1)(x^2 + ?x + 1) and you should very easily find the value of ? that MAKES the other terms of the PRODUCT work out.

Now you have a quadratic to factor which is not possible with integers. But you can find the factors by solving a quadratic equation. Hint:

Discussion

No Comment Found

Related InterviewSolutions

What is Rational Numbers ??Where are you Bunny ?? What happen Any Problem Bro ಠ︵ಠ
Observe the following table and find x is directly proportional
What is Rational Numbers ?Answer if ur boy ? Answer if ur Ashrith Im serious
ABCD is a parallelogram if the ratio sides 3,:2and perimeter is 120 m the find the length of the sides of the parallelogram
6. Find the area of the following polygohABCDEF where AP = 2 cm, AQ = 4 cm,AR = 6 cm, AD = 10 cm, AS = 8 cm, andBP, FQ, CR and ES are perpendiculars todiagonal AD
5y+10=4y-10 then what is the answer
*5. How do the prashastis written by Harisena and Ravikirti throw light on the history of theGuptas and Harshavardhana?
The product of two number is 27 /2 .If one number is 23/5,find the other. with solution
Evalute the expression given below for ( m = - 2 ) & ( n = 6 ) 3m³ + 2m²n + n³
Evalute the expression given below for ( m = - 2 ) & ( n = 6 )m² - n²