SOLUTION: Let p(x) = x^3 - 7x + 6
(a) Factor p completely [Hint: guess an initial zero and use synthetic division].
(b) Find the real zeros of p.
(c) Sketch the graph of p using a sign
Algebra.Com
Question 1156352: Let p(x) = x^3 - 7x + 6
(a) Factor p completely [Hint: guess an initial zero and use synthetic division].
(b) Find the real zeros of p.
(c) Sketch the graph of p using a sign diagram.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let p(x) = x^3 - 7x + 6
try x=-3
:
we have to put a 0 in x^2 slot here
"
. . ._______________
-3 |1 + 0 - 7 + 6
. . . . . - 3 + 9 - 6
. . . ----------------
. . . . 1 - 3 + 2 + 0
:
So we have factors (x^2 - 3x + 2)(x + 3)
further factored (x - 2)(x - 1)(x + 3)
The zeros of x: 2, 1, -3
:
GRAPHICALLY
RELATED QUESTIONS
Let p(x) = x^3 - 7x + 6
(a) Factor p completely [Hint: guess an initial zero and use... (answered by josgarithmetic)
1. Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
2. Let f(x) = (answered by josgarithmetic)
Let p(x) = x^6 - 3x^4 + 2x^2
(a) Factor p completely.
(b) Find the real zeros of p.... (answered by josgarithmetic,ikleyn)
Could someone please help?
Use synthetic division and the Remainder Theorem to find... (answered by stanbon)
1. Let p(x) = x^3 -2x^2 - 3x
(a) Factor p completely.
(b) Find the real zeros of p.... (answered by josgarithmetic)
Let P(x)=x4 −2x3 −10x2 +6x+45
▪ Use the Rational Zero Theorem to list all the... (answered by ikleyn)
Let P(x)=x4 −2x3 −10x2 +6x+45
▪ Use the Rational Zero Theorem to list all the... (answered by ikleyn)
Problem: Find all the real zeros of the polynomial. Use the quadratic formula if... (answered by rmromero)
Use synthetic division to show that the given x value is a zero of the polynomial. Then... (answered by josgarithmetic)