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Elenna [48]
2 years ago
11

Use the grouping method to factor the polynomial below completely. x^3-4x^2+3x-12

Mathematics
2 answers:
Archy [21]2 years ago
8 0

Answer:

(x^2 + 3) (x - 4)

Step-by-step explanation:

A P E X

ale4655 [162]2 years ago
5 0

Answer:

(x^2 + 3) (x - 4)

Step-by-step explanation:

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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.​
goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

<u>a=b+3</u>

5 0
2 years ago
Reggy is a reading a 340 page book. It takes him 7 days to read the first 119 pages. At this rate, how much longer will it take
julsineya [31]

Answer:

13

Step-by-step explanation:

If he reads 119 pgs in 7 days that mean 119/7 = 17 he reads 17 pgs per day

next 340-119 = 221 then 221/17= 13

5 0
3 years ago
-28-(-16)= What is the answer
Finger [1]

Answer:

-12

Step-by-step explanation:

<u>Step 1:  Find the answer </u>

Subtracting a negative number is same as adding a positive number

-28 - (-16)

-28 + 16

-12

Answer:  -12

3 0
2 years ago
Do I need to put parentheses in this? Why it why not?
Oksana_A [137]

Answer:

Parentheses can change the result of the answer. If you want to add 4 and 0.95 first, then multiply that number by 3, then you need parentheses.

Step-by-step explanation:

When you are given the question 3 X 4 + 0.95, it has to types of operations. <u>People solve using the order PEDMAS</u>:

Parentheses,

Exponents,

Division and Multiplication,

Addition and Subtraction.

Since there are <u>no parentheses</u> or exponents, the solver will do multiplication first, then addition.

3 X 4 + 0.95     Multiply first

= 12 + 0.95       Now add

= 12.95         Answer without parentheses

If you add <u>parentheses around 4 + 0.95</u>, the answer would change. According to PEDMAS, the parentheses must be solved before anything else.

3 X (4 + 0.95)       Add inside parentheses

= 3 X (4.95)       Now multiply

= 14.85           Answer with parentheses

If you added <u>parentheses around 3 X 4</u>, the answer would not change, because you still multiply first.

(3 X 4) + 0.95      Solving parentheses first

= 12 + 0.95       Add

= 12.95          Answer same as original

3 0
2 years ago
What is 75% of 17000
Nikitich [7]
\displaystyle 75\% \ of \ 17000 \\ \\ \\  \frac{75}{1\not0\not0} \cdot 170\not0\not0= \\ \\ \\ 75 \cdot 170= \\ \\ \\ 12.750 \\ \\
6 0
3 years ago
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