F(x)= Ax^3+Bx^2+Cx+D
 When x=1 f(1)=21
 When X=21 f(21)31061 what is a,b,c and d t equals 21 If its not 0 1 or 7
 
in Word Problem Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

f(1)=21=a+b+c+d; d=21-(a+b+c)

f(21)=9261a+441b+21c+d=31061;

9261a+441b+21c+21-(a+b+c)=31061;

9260a+440b+20c=31040;

926a+44b+2c=3104.

463a+22b+c=1552.

a<4, so:

let a=3: 1389+22b+c=1552, 22b+c=163.

If c has to be positive, then b<8. If b cannot be 7, then let b=6:

132+c=163, c=163-132=31.

So, if a=3, b=6, c=31 and d=21-(a+b+c)=21-40=-19.

If c can be negative, let b=8, 176+c=163, c=-13.

So, if a=3, b=8, c=-13, then d=21-(a+b+c)=21-(-2)=23.

The question doesn't specify any other constraints so there are several solutions, including negative values.

by Top Rated User (1.0m points)

Related questions

1 answer
asked Nov 3, 2011 in Pre-Algebra Answers by anonymous | 360 views
1 answer
0 answers
asked Mar 9, 2013 in Pre-Algebra Answers by anonymous | 291 views
1 answer
0 answers
0 answers
asked Aug 30, 2012 in Algebra 1 Answers by anonymous | 619 views
1 answer
asked Oct 19, 2011 in Algebra 1 Answers by anonymous | 493 views
1 answer
1 answer
asked Sep 17, 2014 in Algebra 1 Answers by Marley | 253 views
1 answer
asked Apr 3, 2014 in Calculus Answers by amandawho Level 1 User (620 points) | 237 views
1 answer
asked Dec 28, 2011 in Algebra 1 Answers by anonymous | 366 views
1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,024 questions
96,354 answers
2,362 comments
24,341 users