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3 years ago

If x power 2 - x- 6 and x power 2+3x- 18 have a common factor ( x -a ) then find the value of a

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

Answer:

a = 3

Step-by-step explanation:

Factorise both expressions\x² - x - 6 = (x - 3)(x + 2)

x² + 3x - 18 = (x - 3)(x + 6)

Thus both expressions have a common factor of (x - 3) , thus

a = 3

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P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a

Vika [28.1K]

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

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3 years ago

A. Find m<br> b. you write the measures of

Marizza181 [45]

Is there’s more to this question?

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4 years ago

2y-4x=-18 slope intercept form

MrMuchimi

Answer:

y=−2x−9

Step-by-step explanation:

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3 years ago

Read 2 more answers

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

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1 year ago

Sebastian and Mia want to buy a home valued at $250,000. The property tax for this location is 1%. Based on the current value of

denis-greek [22]

1% of $250,000 is $2,500

Your answer is C

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3 years ago

Read 2 more answers

If x power 2 - x- 6 and x power 2+3x- 18 have a common factor ( x -a ) then find the value of a ​

If x power 2 - x- 6 and x power 2+3x- 18 have a common factor ( x -a ) then find the value of a