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4 years ago

Use remainder theorem to find the remainder when the function f(x) = x^3 + 5x^2 - 7x is divided by (x+4)

Mathematics

2 answers:

murzikaleks [220]4 years ago

6 0

Answer:

Remainder is 44.

Step-by-step explanation:

Remainder theorem says that if f(x) is divided by the linear polynomial (x-a) , then remainder is f(a)

In given question , f(x) = x³ + 5x² -7x

linear polynomial is (x+4) = (x - (-4) )

so from remainder theorem , remainder = f(-4) = (-4)³ + 5 ( -4)² - 7(-4)

= -64 + 80+28=44

Hence Remainder is 44.

Hatshy [7]4 years ago

5 0

Answer:

44 is the correct one

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(6x² + 36x² + 12) ÷ (x+6)

astra-53 [7]

Answer:

=42x2+1

Step-by-step explanation:

6x2+36x2+12x+6

=42x2+1

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3 years ago

Sovle the following inequality -3m + 18 < 30

denis-greek [22]

Answer:

m>-4

Step-by-step explanation: First subtract 18 from both sides, then simplify 30-18, which equals 12. Divide both sides by -3, and flip your sign.

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3 years ago

What is the slope of the line through (-9,6) and (-3, 9)?

Artyom0805 [142]

To find slope, y2-y1/x2-x1
9-6/-3-(-9)=
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3 years ago

Determine if the following equations are equal by evaluating both sides

padilas [110]

Answer:

Yes, the both sides of the given equation are equal.

Step-by-step explanation:

The given equation is

$\log((1-i)^3)=3\log(1-i)$

Taking LHS,

$LHS=\log((1-i)^3)$

Using the power property of logarithm, we get

$LHS=3\log(1-i)$ $[\because log_ax^n=nlog_ax]$

$LHS=RHS$ $[\because RHS=3\log(1-i)]$

Both sides of the given equation are equal.

5 0

3 years ago

29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.

nexus9112 [7]

Answer: A, B, C, and E

Step-by-step explanation:

If both sides are real numbers, then the product will be a real number.

If in at least one of the sides we have a complex number, then the product will be real if:

The other number is zero.

The other number is the conjugate of the first.

This is when:

Suppose we have a number:

z = a + b*i

The conjugate will be:

w = a - b*i

And the product between them is:

(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2

Then the options that will have a real answer are:

A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41

B. (4 + 91)*(41 - 9) = 3040

C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13

E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393

5 0

3 years ago