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3 years ago

Which expression is equivalent to 12(2+3x−6) ?

Mathematics

2 answers:

vodomira [7]3 years ago

7 0

I think the answer is C.

alexdok [17]3 years ago

5 0

12(2 + 3x - 6)

simplify the parenthesis

12( 2 - 6 + 3x)
12 (-4 + 3x)

distribute 12 to all monomials inside the parenthesis

-48 + 36x

36x - 48 is your answer

hope this helps

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vivado [14]

Answer: x<17.5

Step-by-step explanation:

Subtract from both sides: x+2.5-2.5<20-2.5

Simplify the arithmetic: x<20-2.5

Simplify the arithmetic: x<17.5

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3 years ago

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2 years ago

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3 0

3 years ago

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

$a-6 = -11\\a = -11+6\\a = -5$

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

#LearnwithBrainly

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3 years ago