Question

(2x - 5)(2x² – 3x + 1) please explain me this​

Answer 1

Answer:

-16

Step-by-step explanation:

The given polynomial can be written as:

(2x−5)(2x2−3x+1)=4x3−6x2+2x−10x2+15x−5

                                           =4x3−16x2+17x−5

So, the coefficient of x2 in the given polynomial is −16.

Answer 2

$(2x−5)(2x {}^{2} −3x+1)$

$=(2x)(2x {}^{2} )+(2x)(−3x)+(2x)(1)+(−5)(2x {}^{2} )+(−5)(−3x)+(−5)(1)$

$=4x {}^{3} −6x {}^{2} +2x−10x {}^{2} +15x−5$

$= 4x {}^{3} −16x {}^{2} +17x−5$

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