What expression is equivalent to 9-(-12)
2 answers:
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Answer:
Factor theorem: .
Synthetic division: .
Step-by-step explanation:
<h3>Factor Theorem</h3>By the factor theorem, a monomial of the form (where
is a constant) is a factor of polynomial
if and only if
.
In this question, the monomial is , which is equivalently
.
.
.
Hence, by the factor theorem, , which is equivalent to
, is a factor of
.
.
The remainder is when dividing
by
. Hence,
is a factor of
.
Answer:
When f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
Step-by-step explanation:
- We know that when we add a number 'a' to the input of the function, it would move the parent function 'a' units to the left.
In other words, the rule is:
- f(x + a) will shift the parent function 'a units' to the left.
Given the function
Thus, when f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
- The effect on the graph of the linear parent function is shown in the attached diagram.
In the graph, the red line is representing the parent function f(x) and the blue line is representing the effect on the graph i.e. f(x+5).
