Question

f(x)=2x²+5x-9 ; f(5x-2)​

Answer 1

Step-by-step explanation:

f(5x-2)

2x2+5x-9

2(5x-2)2+5(5x-2)-9

2(25x2-20x+4)+25x-10-9

50x2-40x+8+25x-10-9

50x2-15x-11

up to this itself ok.

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Answer 2

f(5x-2) $=50x^{2} -15x+7.$

• The product of a polynomial's factors with degrees that are less than or equal to the original polynomial can be used to represent a polynomial. Factorization of polynomials is the technical term for the factoring process.

• The positive integers that can divide a number evenly are known as factors in mathematics. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element.
• There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors. The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are  called factors. A factor is therefore another number's divisor.

Here, according to the given information, we are given that,

f(x) = $2x^{2} +5x-9$'.

Now, f(5x-2) = $2(5x-2)^{2} +5(5x-2)+9$

$=2(25x^{2} -20x+4)+25x-10+9\\=50x^{2} -40x+25x+8-10+9\\=50x^{2} -15x+7.$

Hence,  f(5x-2) $=50x^{2} -15x+7.$

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