f(x) = x^2 - 9x - 10 = ( x - 10 ) ( x + 1 )
Answer : ( x - 10 ) ( x + 1 )
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
A polynomial that can't be separated into smaller factors.
-2 and -6
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
12x2 + 20x - 25 IS a polynomial that factors into (2x + 5)(6x - 5)
false
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
Factors
B
a
a
Completely Factored
2 or 5
Factor it once, and then factor the factors.
The given polynomial does not have factors with rational coefficients.
A polynomial that can't be separated into smaller factors.