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In-s [12.5K]
1 year ago
8

Can someone pls explain how to do this

Mathematics
1 answer:
Rama09 [41]1 year ago
5 0

The polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

In the question, we are asked to find the correct representation of A, when the algebraic expression (x² + x)/(x + 3) can be rewritten as the algebraic expression A + 6/(x + 3), where A is a polynomial.

Thus, we can write an equation,

A + 6/(x + 3) = (x² + x)/(x + 3),

or, A + 6/(x + 3) - 6/(x + 3) = (x² + x)/(x + 3) - 6/(x + 3) {Subtracting 6/(x + 3) from the both sides of the equation}

or, A = (x² + x)/(x + 3) - 6/(x + 3) {Simplifying},

or, A = (x² + x - 6)/(x + 3) {Subtracting the two fractions with the same denominator (x + 3)},

or, A = (x² + 3x - 2x - 6)/(x + 3) {Mid-term factorization},

or, A = {x(x + 3) - 2(x + 3)}/(x + 3) {Taking common},

or, A = {(x - 2)(x + 3)}/(x + 3) {Taking (x + 3) common},

or, A = x - 2 {Cancelling (x + 3) from the numerator and the denominator}.

Thus, the polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

Learn more about polynomials at

brainly.com/question/11434122

#SPJ1

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(I need help)
natima [27]

Answer:

b. 9

Step-by-step explanation:

36+97=133

80+44=124

133-124=9

4 0
2 years ago
What’s the correct answer for this?
Yakvenalex [24]

Answer:

B

Step-by-step explanation:

According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal

7 0
3 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
2 years ago
To solve 1/3 divided by 9 James thinks of dividing a loaf of bread
garri49 [273]

Answer:

it would be 0.3 with bar notation

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help on 23 !!
Marrrta [24]

Answer:

Step-by-step explanation:

1/4 * 2/3 = 2 / 12 = 1/6

3 0
2 years ago
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