232 173 28 We can further write it as 232 73 8 28 By taking out the common terms 32x 7 4 2x 7 So we get 3 4 2x 7

RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3C in Chapter 3 - Factorization of Polynomials

Question 56 Factorization of Polynomials Exercise 3C

2/3𝑥^2 −17/3𝑥 − 28

Answer:

2/3𝑥^2 −17/3𝑥 − 28

We can further write it as

=2/3𝑥^2 −7/3𝑥 − 8𝑥 − 28

By taking out the common terms

=𝑥/3(2x + 7) – 4 (2x + 7)

So we get

= (𝑥/3– 4) (2x + 7)

Video transcript

"hello everyone i am sumanjali math tutor from leader learning welcome to question and answer session given expression is 2 by 3 x square minus 17 by 3 x minus 28 we need to factorize this expression so factorization is nothing but we need to express this in terms of simple terminology okay so first of all the given expression is in the form of a x square minus b x sorry plus b x plus c okay so for factorization we need to take the product of a and c but before that i am taking here common 1 by 3 okay so if i taking take common 1 by 3 2 x square will be remains in the first term minus 17 x will be there in the second term minus 28 3's are 84 okay so 84 will be there in the third term okay so now i need to i need to factorize this particular equation for that i'm taking the product of a and c okay a is the coefficient of x square that is 2 and c value is constant that is 84 okay so 84 into 2 the value will be 168 okay so we need to check another and another set of factors for 168 that is 7 okay so 7 seven twos are fourteen and seven fours are okay so we can write it as 24 by seven and we can express minus 17 x as a addition or subtraction of 24 by 7 24 by 7 so it can be written as minus 24 x plus 7 x okay minus 24 x plus 7 x okay so i'm writing this in that okay so it is 2 x square minus 24 x plus 7 x minus 84 okay so minus 84 in the first term from the first term i'm taking 2x as common so if i took 2x so x will be there minus 12 minus 12 will be there okay so plus here i'm taking common seven okay here i'm taking common seven okay so seven ones uh like if i took a common seven x will be there minus 12 will be here okay so now i can take x minus 12 as common so that 2x plus 7 will reminds okay 2x plus 7 will reminds okay so the expression the expression we can written as 2 by 3 x square minus 17 by 3 into x minus 28 okay so we can write this as x by 3 minus 4 into 2 x plus 7 okay so that's all this is the answer hope you understand if you have further questions reach us at comment section and subscribe to the channel lido learning for further queries thank you "

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