All categories

3 years ago

What is the product of (2p + 7)(3p2 + 4p – 3)?

Mathematics

2 answers:

trapecia [35]3 years ago

5 0

Answer:

The product of the polynomials is 6p³ + 29p² + 22p - 21

Step-by-step explanation:

(2p + 7)(3p² + 4p - 3)

Use the foil method to multiply.

6p³ + 8p² - 6p + 21p² + 28p - 21

Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.

6p³ + 29p² + 22p - 21

anzhelika [568]3 years ago

3 0

The answer is 6p3+2p2+49p-21

You might be interested in

The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th

Katarina [22]

<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

6 0

3 years ago

Read 2 more answers

The numbers 0.23350 has how many significant figures?

Alenkinab [10]

Significant figures are the digits that carry meaning to its measurement. Significant figures includes all the numbers excluding all the leading zeros, trailing zeros. All non zero digits are significant. Zeros between the non zero digits are significant. In a decimal number, trailing zeros are significant.

Now, consider the given number 0.23350

Since, in a decimal number all the trailing zeros are significant.

So, in the number 0.23350 there are five significant figures 2,3,4,5 and 0.

Therefore, there are 5 significant figures in the given number.

3 0

3 years ago

Read 2 more answers

Does somebody know how to find area of a trapizoid???

motikmotik

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

5 0

2 years ago

Read 2 more answers

Why are handcuffs like souvenirs?

ArbitrLikvidat [17]

Part A) $7(a+b)=7a+$

Using the distributive property

$7(a+b)=7a+7b$

therefore

the answer Part A is

$9-----> A$

Part R) $4(5+x)=20+$

Using the distributive property

$4(5+x)=20+4x$

therefore

the answer Part R is

$14-----> R$

Part Y) $3(2x+9)=6x+$

Using the distributive property

$3(2x+9)=6x+27$

therefore

the answer Part Y is

$4-----> Y$

Part S) $8(3x+1)=+8$

Using the distributive property

$8(3x+1)=24x+8$

therefore

the answer Part S is

$23-----> S$

Part O) $a(4+b)=+ab$

Using the distributive property

$a(4+b)=4a+ab$

therefore

the answer Part O is

$17-----> O$

Part E) $x(y+10)=+10x$

Using the distributive property

$x(y+10)=xy+10x$

therefore

the answer Part E is

$3-----> E$

Part I) $2(7x+4y)=14x+$

Using the distributive property

$2(7x+4y)=14x+8y$

therefore

the answer Part I is

$20-----> I$

Part D) $6(9+5x)=54+$

Using the distributive property

$6(9+5x)=54+30x$

therefore

the answer Part D is

$10-----> D$

Part W) $x(a+3b)=+3bx$

Using the distributive property

$x(a+3b)=ax+3bx$

therefore

the answer Part W is

$18-----> W$

Part E) $a(8x+2y)=8ax+$

Using the distributive property

$a(8x+2y)=8ax+2ay$

therefore

the answer Part E is

$7-----> E$

Part T) $0.5(4a+10)=2a+$

Using the distributive property

Part T) $0.5(4a+10)=2a+5$

therefore

the answer Part T is

$1-----> T$

Part R) $(2/3)(12+9y)=8+$

Using the distributive property

$(2/3)(12+9y)=8+6y$

therefore

the answer Part R is

$6-----> R$

Part O) $5x+5y=5(x+\ )$

$5x+5y=5(x+y)$

therefore

the answer Part O is

$13-----> O$

Part T) $9a+9b=9(\ +b)$

$9a+9b=9(a+b)$

therefore

the answer Part T is

$22-----> T$

Part W) $4m+4n=\ (m+n)$

$4m+4n=4(m+n)$

therefore

the answer Part W is

$16-----> W$

Part H) $ab+3a=a(b+\ )$

$ab+3a=a(b+3)$

therefore

the answer Part H is

$2-----> H$

Part E) $xy+15x=\ (y+15)$

$xy+15x=x(y+15)$

therefore

the answer Part E is

$11-----> E$

Part A) $bu+uv=\ (b+v)$

$bu+uv=u(b+v)$

therefore

the answer Part A is

$5-----> A$

Part F) $(2/5)m+(2/5)n=(2/5)( \ +n)$

$(2/5)m+(2/5)n=(2/5)(m+n)$

therefore

the answer Part F is

$12-----> F$

Part M) $(3/4)a+(3/4)b+(3/4)c=\ (a+b+c)$

$(3/4)a+(3/4)b+(3/4)c=(3/4)(a+b+c)$

therefore

the answer Part M is

$8-----> M$

Part S) $7ax+2ay=a(7x+\ )$

$7ax+2ay=a(7x+2y)$

therefore

the answer Part S is

$21-----> S$

Part T) $4kx+11ky=\ (4x+11y)$

$4kx+11ky=k(4x+11y)$

therefore

the answer Part T is

$15-----> T$

Part R) $3ay+8by=y(\ +8b)$

$3ay+8by=y(3a+8b)$

therefore

the answer Part R is

$19-----> R$

the answer is

they are made for two wrists

4 0

3 years ago

Read 2 more answers

Which of the following functions is graphed below?

Elza [17]

___________________A

5 0

3 years ago