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AysviL [449]
2 years ago
6

The expression below is the factorization of what trinomial? (7x + 5)(2x - 3)

Mathematics
2 answers:
allsm [11]2 years ago
8 0
You can simply expand the factorised form out:
y = 14x² - 21x + 10x - 15
y = 14x² -11x -15
Stels [109]2 years ago
6 0

Answer:

The trinomial is 14x^{2}-11x - 15

Step-by-step explanation:

We need to find the trinomial which has the factors  (7x + 5)(2x - 3)

To find the trinomial , we need to multiply the factors

(7x + 5)(2x - 3)

multiply term wise,

14x^{2}-21x +10x - 15

14x^{2}-11x - 15

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Form a polynomial function(x) with zeros: -2, multiplicity 1; 1, multiplicity 2; 5, multiplicity 3; and degree 6. Use 1 as the l
Citrus2011 [14]

Answer:

Remember, a number a is a zero of the polynomial p(x) if p(a)=0. And a has multiplicity n if the factor (x-a) appear n times in the factorization of p(x).

1. Since -2 is a zero with multiplicity 1, then (x+2) is a factor of the polynomial.

2. Since 1 is a zero with multiplicity 2, then (x-1) is a factor of the polynomial and appear 2 times.

3. Since 5 is a zero with multiplicity 3, then (x-5) is a factor of the polynomial and appear 3 times.

Then, the polynomial function with the zeros described above is

p(x)=(x+2)(x-1)^2(x-5)^3= x^6-15x^5+72x^4-78x^3-255x^2+525x-250

8 0
3 years ago
What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
2 years ago
Jaya forgets how to write numbers in expanded form. Explain the steps to her using the number 13.652 as an example, and then wri
Natalija [7]

Step-by-step explanation:

expanded notation form. 10+3+0.6+0.05+0.002

expanded factor form. 1x10+3×1+6x0.1+5×0.01+2×.001

exponential form 1x10^1 + 3x10^0 + 6x10^-1 + 5x10^-2 + 2x10^-3

word form is thirteen and six hundred fifty-two thousandths

4 0
2 years ago
Willie spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $5. What is his
Lera25 [3.4K]

Answer:

14 dollars

Step-by-step explanation:

14÷2= 7

7+5=12

5 0
3 years ago
Triangle ABC translates to triangle A’B’C describe the translation in terms of x and y conditions
aksik [14]

Answer:

it translated down 6 and right 6

Step-by-step explanation:

I don't really know what notation you wanna use, but yeah. thems the facts

8 0
2 years ago
Read 2 more answers
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