Question

The polynomial f(x) given below has 1 as a zero. f(x)=x3−3x2+4x−2?

The polynomial f(x) given below has 1 as a zero.

f(x)=x3−3x2+4x−2?

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

f(x)=x3−3x2+4x−2

To find if 1 is a zero of the given polynomial, we need to substitute x = 1

f(1) = 13 - 3(1)2 + 4(1) -2

f(1) = 1 - 3 +4 -2

f(1) = 5 - 5 = 0

Since f(1) comes to 0 hence x = 1 is the zero of the polynomial.

Sine x = 1 is the root of the function (x-1) will divide the polynomial f(x)

Hence f(x) = (x-1)(x^2-2x+2)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x) = x3 + 3x2 − 9x − 27 . The first and second derivatives...
Let f(x) = x3 + 3x2 − 9x − 27 . The first and second derivatives of f are given below. f(x) = x3 + 3x2− 9x − 27 = (x − 3)(x + 3)2 f '(x) = 3x2 + 6x − 9 = 3(x − 1)(x + 3) f ''(x) = 6x + 6 = 6(x + 1) a.) Find the x-intercepts on the graph of f. b.)Find the critical points of f. c.) Identify the possible inflection points...
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1,...
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1, 3]. Find f '(x). f '(x) = 3x2−4x−4 Find the critical values. x = Evaluate the function at critical values. (x, y) = (smaller x-value) (x, y) = (larger x-value) Evaluate the function at the endpoints of the given interval. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the absolute maxima and minima for f(x) on the interval [−1, 3]. absolute...
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials...
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials in Z5[x], i.e. represent f(x) as a product of irreducible polynomials in Z5[x]. Demonstrate that the polynomials you obtained are irreducible. I think i manged to factorise this polynomial. I found a factor to be 1 so i divided the polynomial by (x-1) as its a linear factor. So i get the form (x3 − 2x2 + 2x − 1) = (x2-x+1)*(x-1) which is...
Evaluate the following integral. ∫ (x3  −  3x2)(  1 x  −  3) dx (A)  −  3...
Evaluate the following integral. ∫ (x3  −  3x2)(  1 x  −  3) dx (A)  −  3 4  x4  +  14 3  x3  −  3 2  x2  +  C (B)  −  3 4  x4  +  4 x3  − 3x2  +  C (C)  −  3 4  x4  +  10 3  x3  − 3x2  +  C (D)  −  3 4  x4  +  10 3  x3  −  3 2  x2  +  C (E) (  1 4  x4  −  x3)(  1 x  −  3)  + ...
Given the function f(x) = x3 - 3x2 - 9x + 10 Find the intervals where...
Given the function f(x) = x3 - 3x2 - 9x + 10 Find the intervals where it is increasing and decreasing and find the co-ordinates of the relative maximums & minimums. Find the intervals where it is concave up and down and co-ordinates of any inflection points Graph the f(x) 
f(x)=x^3+8x^2+14x+4 (given that -2 is a zero) find all zeros of the polynomial function
f(x)=x^3+8x^2+14x+4 (given that -2 is a zero) find all zeros of the polynomial function
Sketch the graph of the function f(x) = x3 + 3x2 +3x + 5
Sketch the graph of the function f(x) = x3 + 3x2 +3x + 5
1.Determine all the zeros and their multiplicities of the polynomial function f(x) = x 5 −...
1.Determine all the zeros and their multiplicities of the polynomial function f(x) = x 5 − 6x 3 + 4x 2 + 8x − 16 2. Find all the zeros of the function f(x) = x 5 − 4x 4 + x 3 − 4x 2 − 12x + 48 given that −2i and 4 are some of the zeros.
Let f(x) =(x)^3/2 (a) Find the second Taylor polynomial T2(x) based at b = 1. x3....
Let f(x) =(x)^3/2 (a) Find the second Taylor polynomial T2(x) based at b = 1. x3. (b) Find an upper bound for |T2(x)−f(x)| on the interval [1−a,1+a]. Assume 0 < a < 1. Your answer should be in terms of a. (c) Find a value of a such that 0 < a < 1 and |T2(x)−f(x)| ≤ 0.004 for all x in [1−a,1+a].
For the function f(x) = ln(4x), find the 3rd order Taylor Polynomial centered at x =...
For the function f(x) = ln(4x), find the 3rd order Taylor Polynomial centered at x = 2.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT