SOLUTION: For the polynomial below, -3 is a zero. f(x)= x^3-x^2-10x+6 Express f(x) as a product of linear factors. f(x)=

Algebra.Com
Question 960773: For the polynomial below, -3 is a zero.
f(x)= x^3-x^2-10x+6
Express f(x) as a product of linear factors.
f(x)=
Found 2 solutions by Edwin McCravy, lwsshak3:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
   -3 is a zero.

-3 | 1  -1  -10   6
   |    -3   12  -6
     1  -4    2   0

So we have factored f(x) as



Now we must factor  into two linear factors.

We find its zeros by setting it equal to 0



















so the other two zeros are  and 

So the remaining linear factors are  and 





Edwin
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
For the polynomial below, -3 is a zero.
f(x)= x^3-x^2-10x+6
Express f(x) as a product of linear factors.
f(x)=
***
By synthetic division:
....-3...|....1....-1....-10.....6........
....................-3......12.....-6.........
.............1.....-4.......2.......0
f(x)=(x+3)(x^2-4x+2)
RELATED QUESTIONS

For the polynomial below, -1 is a zero. f(x)=x^3 +5x^2 +17x +13 Express f(x) as a... (answered by lwsshak3)
For the polynomial below, -1 is a zero. f(x)=x^3 +5x^2 +17x +13 Express f(x) as a (answered by mouk)
For the polynomial below, -1 is a zero. F(x)= x^3+7x^2+24x+18 Express f(x) as a... (answered by MathLover1)
For the polynomial below, -2 is a zero. f(x)=x^3+8x^2+14x+4 Express f(x) as a... (answered by richard1234)
For the polynomial below, -2 is a zero. g(x)=x^3 -2x^2 -11x -6 Express g(x)... (answered by stanbon)
For the polynomial below, 3 is a zero. g(x)=x^3-2x^2-5x+6 express g(x) as a product (answered by ikleyn)
For the polynomial below, -1 is a zero. h(x)=x^3+3x^2-4x-6 Express as a product of... (answered by josgarithmetic)
For the polynomial below, 3 is a zero. H(x)=x^3-7x^2 +11x+3 Express h(x) as a product (answered by josgarithmetic)
For the polynomial below, -1 is a zero. h(x)= x^3+3x^2-2x-4 express h(x) as a... (answered by josgarithmetic)