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3 years ago

Write as a product of two polynomials. a(b–c)+d(c–b)

Mathematics

1 answer:

Natasha2012 [34]3 years ago

4 0

The product of two polynomial is (b - c)(a - d)

Step-by-step explanation:

Let us explain the meaning of polynomial

A polynomial is an expression consisting of:

Variables

Coefficients
Involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

∵ a(b - c) + d(c - b)

∵ We need to write it as a product of two polynomials

- That means factorize it to have two brackets multiplied by

each other and each one has 2 terms

∵ The bracket (c - b) can be written as (-b + c)

- Take (-1) as a common factor from the bracket (-b + c)

∵ -b ÷ (-1) = b

∵ c ÷ (-1) = -c

∴ (-b + c) = - (b - c)

- Substitute it in the expression above

∴ a(b - c) + d(c - b) = a(b - c) + d(-1)(b - c)

∵ d(-1) = -d

∴ a(b - c) + d(c - b) = a(b - c) - d(b - c)

Let us factorize the expression a(b - c) - d(b - c)

The bracket (b - c) is a common factor of the two terms

∵ (b - c) is a common factor of the two terms of the expression

∵ a(b - c) ÷ (b - c) = a

∵ - d(b - c) ÷ (b - c) = - d

∴ a(b - c) - d(b - c) = (b - c)(a - d) ⇒ product of 2 polynomial

The product of two polynomial is (b - c)(a - d)

Learn more:

You can learn more about factorization in brainly.com/question/7932185

#LearnwithBrainly

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3 years ago

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kompoz [17]

Answer:

You save 86 cents per pound.

Step-by-step explanation:

According to the given problem, grocery store B charges chicken 5 pounds of chicken for $38.20. Consider finding the unit price:

To find the unit price of any item, do the following calculation:

Total Price / Total amount = $$$ per amount.

The unit price of store b is $\frac{38.20}{5}=7.64$ . In other words, every pound of chicken costs $7.64 at store b.

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3 years ago

Help me solve this please

Semenov [28]

$\huge\underline{ \underline{ \bf{Answer࿐} }}$

parallel sides measure :

10 ft -(a)
12 ft. -(b)

Area :

44 ft²

height (h) = x

___________________

$\boxed{Area = \frac{1}{2} \times (a + b) \times h}$

$\dfrac{1}{2} \times (10 + 12) \times x = 44$

$\dfrac{1}{2} \times 22 \times x = 44$

$11x = 44$

$\boxed{ 4 \: \: ft}$

Therefore, height of Trapezoid is 4 ft

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$\mathrm{ \#TeeNForeveR}$

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3 years ago

9. Find the volume of the triangular pyramid. (2pts)-10 mI9 m16 m

Makovka662 [10]

Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

$V=\frac{1}{3}\times B\times H$

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

$B=\frac{b\times h}{2}$

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

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Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

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1 year ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

Step-by-step explanation:

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

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see attached - the graphs intersect at two points: (-2, 5) and (2, -3)

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