Asked by Jennifer
I have two questions if someone can PLEASE help.
1.solve the equation in the real number system. x^4+11x^3+24x^2-23x+35=0
**Please show work**
2.Use the remainder theorem to find the remainder. When f(x)is divided by x-3. Then use the factor theorem to determine whether x-3 is a factor of f(x)
f(x)=2x^4-8x^3+14x+12
the remainder is ?
is x-3 a factor of f(x)=2x^4-8x^3+14x+12
**please show work here as well. Thanks**
1.solve the equation in the real number system. x^4+11x^3+24x^2-23x+35=0
**Please show work**
2.Use the remainder theorem to find the remainder. When f(x)is divided by x-3. Then use the factor theorem to determine whether x-3 is a factor of f(x)
f(x)=2x^4-8x^3+14x+12
the remainder is ?
is x-3 a factor of f(x)=2x^4-8x^3+14x+12
**please show work here as well. Thanks**
Answers
Answered by
Steve
1.
you know that any rational roots will be factors of 35
a little synthetic division shows that
f(x) = (x+5)(x+7)(x^2-x+1)
the quadratic has no real roots
2.
the remainder is f(3). Naturally, if the remainder is zero, (x-3) is a factor.
f(3) = 2*81-8*27+14*3+12=0
you know that any rational roots will be factors of 35
a little synthetic division shows that
f(x) = (x+5)(x+7)(x^2-x+1)
the quadratic has no real roots
2.
the remainder is f(3). Naturally, if the remainder is zero, (x-3) is a factor.
f(3) = 2*81-8*27+14*3+12=0
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.