Answer:
(x-7) (x^2-5)
Step-by-step explanation:
x^3-7x^2-5x+35
Factor out an x^2 from the first two terms and -5 from the last 2 terms
x^2 (x-7) -5(x-7)
Factor out (x-7)
(x-7) (x^2-5)
Answer:
-89
Step-by-step explanation:
The first term of the sequence is a1 = -12.
The common difference between terms is ...
d = -13 -(-12) = -1
The generic term is given by ...
an = a1 +d(n -1)
Then the 78th term is ...
a78 = -12 +(-1)(78 -1) = -12 -77
a78 = -89
Answer:
The standard form of quadratic equation is 
The factored form of
is 
Step-by-step explanation:
Given equation 
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as 
Consider
Taking all terms to left side, we have,

Adding like terms, we have,

Now we will factorize it.
We will solve the quadratic equation
using middle term splitting method,
-16x can be written as -18x+2x
becomes

Taking x common from first two terms and 2 common from last two terms we have,


Thus, the factored form of
is 