Math, asked by RedX, 11 months ago

Factorise 9x²-24x+10

5x²-9x+3

X²+X+1

4x²+3x-2

Plz do it fast

Answers

Answered by trshukla
0

1)The first term is,  9x2  its coefficient is  9 .
The middle term is,  -24x  its coefficient is  -24 .
The last term, "the constant", is  -10 

Step-1 : Multiply the coefficient of the first term by the constant   9 • -10 = -90 

Step-2 : Find two factors of  -90  whose sum equals the coefficient of the middle term, which is   -24 .

     -90   +   1   =   -89     -45   +   2   =   -43     -30   +   3   =   -27     -18   +   5   =   -13     -15   +   6   =   -9     -10   +   9   =   -1     -9   +   10   =   1     -6   +   15   =   9     -5   +   18   =   13     -3   +   30   =   27     -2   +   45   =   43     -1   +   90   =   89



2)The first term is,  5x2  its coefficient is  5 .
The middle term is,  -9x  its coefficient is  -9 .
The last term, "the constant", is  +3 

Step-1 : Multiply the coefficient of the first term by the constant   5 • 3 = 15 

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -9 .

     -15   +   -1   =   -16     -5   +   -3   =   -8     -3   +   -5   =   -8     -1   +   -15   =   -16     1   +   15   =   16     3   +   5   =   8     5   +   3   =   8     15   +   1   =   16


3)The first term is,  x2  its coefficient is  1 .
The middle term is,  +x  its coefficient is  1 .
The last term, "the constant", is  +1 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1 

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   1 .

     -1   +   -1   =   -2     1   +   1   =   2

4)The first term is,  4x2  its coefficient is  4 .
The middle term is,  +3x  its coefficient is  3 .
The last term, "the constant", is  -2 

Step-1 : Multiply the coefficient of the first term by the constant   4 • -2 = -8 

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   3 .

     -8   +   1   =   -7     -4   +   2   =   -2     -2   +   4   =   2     -1   +   8   =   7
hope it will help you....
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