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RUDIKE [14]
3 years ago
11

Please help fast ill give 50 points

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

a

Step-by-step explanation:

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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:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

4 0
3 years ago
A circular pizza has a diameter 10cm.what is the approximate area of the pizza?(use pi=3)
irina1246 [14]
You would multiply 10 times \pi (3.14)you would multiply 10 times  \pi and get 31.40 cm squared and get 31.40 cm squared
4 0
3 years ago
Read 2 more answers
An=-3+5(n-1) written in function form<br> also whats the y intercept?
ki77a [65]

Answer:

written function is 5n-8

Step-by-step explanation:

there is no y-intercept

5 0
3 years ago
Read 2 more answers
PLEASE HELP
antiseptic1488 [7]

Answer:

its not factor able i suggest try using math_way

Step-by-step explanation:

7 0
3 years ago
Please Help!!!
konstantin123 [22]

Answer: option 4 x < 175

x/5 < 35

multiply both sides by 5

x < 175

(i can’t do the correct symbol but you get the idea)

5 0
3 years ago
Read 2 more answers
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