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2 years ago

Find the difference of the polynomials given below and classify it in terms of degree and number of terms.

Mathematics

1 answer:

BARSIC [14]2 years ago

8 0

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

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podryga [215]

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2 years ago

The product of 7 and 0.04 is 0.28. [True] or [False]

tino4ka555 [31]

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2 years ago

Read 2 more answers

Simplify 8(a+2)+2(2+3a)

Alexxx [7]

Expand

8a + 16 + 4 + 6a

Collect like terms

(8a + 6a) + (16 + 4)

Simplify

14a + 20

7 0

3 years ago

What is sin 0 when sec 0 = 5? 0 |(1,0) sin e = 2[?] [] Rationalize the denominator if necessary.

Komok [63]

Answer:

$Sin ~0 =\frac{2\sqrt{5} }{5}$

Step-by-step explanation:

$sec0=\sqrt{5}$

$cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }$

$sin ~0=\sqrt{1-cos^2~0}$

$=\sqrt{1-1/5}=\sqrt{5-1/5}$

$Sin~0=\sqrt{4/5} =2/\sqrt{5}*\sqrt{5}/\sqrt{5}$

$Sin~0=2\sqrt{5}/2=2\sqrt{5}/5$

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hope it helps...

have a great day!!!

7 0

3 years ago

Find the value of r so the line that passes through the pair of points has the given slope.

SOVA2 [1]

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

$x_1=12, y_1=10\\x_2=-2, y_2=r$

Putting the values in slope of line formula,

$-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\$

Multiplying both sides by -14

$-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66$

The value of r is 66

Hence,

The missing value in the ordered pair is 66

4 0

3 years ago