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3 years ago

Find the remainder when f(x) = 2x3 – 12x2 + 11x + 2 is divided by x – 5.

2 answers:

6 0

The remainder of the function divided by a factor can be obtained by substituting the factor to the function. In this case, we substitute 5 to the x in the expression 2x3 – 12x2 + 11x + 2. The answer is equal to 7. The answer hence to this problem is C

Oksana_A [137]3 years ago

3 0

When dividing polynomial f(x) by linear polynomial x-a, the remainder is equal to f(a).

In your case a=5. Find f(a)=f(5):

$f(5) = 2\cdot 5^3 - 12\cdot 5^2 + 11\cdot 5 + 2=2\cdot 125-12\cdot 25+55+2=250-300+55+2=7.$

Answer: correct choice is C.

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Apply the distributive property to the expression to write an equivalent expression. 5x + 35 Complete the statements. Find the G

stepladder [879]

Answer:

Apply the distributive property to the expression to write an equivalent expression.

5x + 35

Complete the statements.

Find the GCF of

✔ 5x and 35

Now, factor out the GCF by dividing each term in the expression by

✔ 5

5x divided by the GCF is

✔ x

, and 35 divided by the GCF is

✔ 7

The equivalent expression is

✔ 5(x + 7)

6 0

3 years ago

Read 2 more answers

What percent of 56 is 14?

Llana [10]

Answer:

25%

Step-by-step explanation:

14/56 * 100/100

= (14 × 100/56) * 1/100

= 25/100

= 25%

8 0

3 years ago

Find the third fourth and fifth terms of the sequence defined by a1=1, a2=3, and a n =(-1)n a n-2 for n>3

Maslowich

We have been given that

$a_1=1\\ a_2=3\\
a_ n =(-1)^n a _{n-2} \text{ for } n>3$

In order to find the third term, we substitute n=3

$a_ 3 =(-1)^3a _{(3-2)}\\
\\
a_ 3 =(-1)^3 a _{1}$

Substituting the given value of $a_1$

$a_ 3 =(-1)^3 \times 1\\
\\
a_3=-1\times 1\\
\\
a_3=-1$

Similarly, we can find the fourth term by plugging n=4

$a_ 4 =(-1)^4a _{(4-2)}\\
\\
a_ 4 =(-1)^4 a _{2}\\
\\
a_4= 1\times 3\\
\\
a_4=3$

Therefore, the third term is -1

And the fourth term is 3

5 0

3 years ago

Which equation has a graph with a vertex at (-1,-1)?

11111nata11111 [884]

$y = {(x + 1)}^{2} - 1$

The one is a vertical translation of the parent function to the left of one

$f(x) = {x}^{2}$

making it -1.

6 0

4 years ago

What is a reflective Symmetric transitive and a substation property

Anestetic [448]

Answer:

The Symmetric Property states that for all real numbers x and y , if x = y , then y = x . Transitive Property. The Transitive Property states that for all real numbers x , y , and z , if x = y and y = z , then x = z . Substitution Property. If x = y , then x may be replaced by y in any equation or expression. I think it is.

Step-by-step explanation:

7 0

3 years ago