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Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsPolynomials2 Marks
Question
Multiply the given polynomials :
$2 y+1 ; y^2-2 y+3 y$
✓

Answer

$(2 y+1) \times\left(y^2-2 y^3+3 y\right)$
$=2 y\left(y^2-2 y^3+3 y\right)+1\left(y^2-2 y^3+3 y\right)$
$=2 y^3-4 y^4+6 y^2+y^2-2 y^3+3 y$
$=-4 y^4+2 y^3-2 y^3+6 y^2+y^2+3 y$
$=-4 y^4+7 y^2+3 y$

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