Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)
Answer:
Step-by-step explanation:
Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle
Down triangle:
Base b = 8 in
Height = 6 in

= 24 in²
Trapezium:
bases a = 4 in & b = 6 in
Height h = 5 in

= 25 in²
Area of the upper triangle:
Base b = 6 in
Height = (8 - 5) = 3 in

= 9 in²
Area of the figure = 24 + 25 + 9 = 58 in²
Answer:
n = 6
Step-by-step explanation:
4n + 2 = 26,
4n = 24,
n = 6
You proofread 2 pages per minute so you divide 96 by 2 to get 48 minutes which is the answer
Answer:
-27-2x
Step-by-step explanation:
5-3x+x-32
(collect like terms)
5-32-3x+x
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