The polynomial p(x) = x³ + 5x² - x - 5, can be factored and grouped and be written as <u>p(x) = (x + 5)(x + 1)(x - 1)</u>.
The given polynomial to us is p(x) = x³ + 5x² - x - 5.
We are asked to factor the polynomial by grouping.
We can do this by following these steps:
- p(x) = x³ + 5x² - x - 5.
- We group the first two terms and the next two terms to get p(x) = (x³ + 5x²) + (-x -5).
- Now, we take x² common from the first group and -1 common from the second group to get p(x) = x²(x + 5) -1(x + 5)
- Now, we take (x + 5) common from both the terms to get, p(x) = (x + 5)(x² - 1).
- Now, we right (x² - 1) as (x + 1)(x - 1). to get the polynomial as, p(x) = (x + 5)(x + 1)(x - 1).
Therefore, the polynomial p(x) = x³ + 5x² - x - 5, can be factored and grouped and be written as <u>p(x) = (x + 5)(x + 1)(x - 1)</u>.
Learn more about the factorization of a polynomial at
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Answer:
9/49
Step-by-step explanation:
4 purple beads and 3 green beads. = 7 beads
P(green) = green / total = 3/7
It is replaced
4 purple beads and 3 green beads. = 7 beads
P(green) = green / total = 3/7
P( green ,replaced, green) = 3/7 * 3/7 = 9/49
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
Answer:
a
Step-by-step explanation:
I already answered this, but I guess it didn't go through