By the remainder theorem, the remainder upon dividing a polynomial
by a linear binomial
is equal to
. Via synthetic division, we get
1 | 4 -5 6
. | 4 -1
- - - - - - - - - - -
. | 4 -1 5
which translates to
or
Indeed, when
, the first term on the right hand side vanished and we're left with 5.
Answer:
88
Step-by-step explanation:
4 pints = 8 cups
3 cups = 3 cups
8 cups + 3 cups = 11 cups
11 cups = 88 fl oz
The velocity is 7.44m/s in a direction to the west
Answer:
x = - 2, x = 7
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
Answer:
d. 4x^2-20x-25
Step-by-step explanation:
So, we have to multiply (2x-5) by itself. That gives:
(2x-5) (2x-5) = 2x (2x-5) - 5 (2x-5) = 4x² - 10x -10x + 25
so, the correct answer is 4x² - 20x + 25
It's just important to multiply each component carefully by using the distributive property.
