Question

11
1. The co-efficient ofx2 in (3-
3x2)(x2-5) is (here 2 is power) *​

Answer 1

Answer:

$(3 - 3 {x}^{2} )( {x}^{2} - 5)$

$= 3 {x}^{2} - 15 - 3 {x}^{4} + 15 {x}^{2}$

$= 18 {x}^{2} - 3 {x}^{4} - 15$

$coefficient \: of \: {x}^{2} = 18$

Answer 2

Question:-

The co-efficient of x² in (3-3x²)(x²-5)

Solution:-

to find the coefficient simplify the given polynomial we get,

•(3-3x²)(x²-5)

use this identity :-(a-b)(c-d)=(a×c-a×d-b×c+b×d) we get:-

•(3x²-15-3x⁴+15x²)

•(18x²-3x⁴-15)

so coefficient of x² is 18