factorise 2x^3+9x^2+10x+3
Give step by step explanation
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Step-by-step explanation:
The factored form is
2x^3 + 9x^2 + 10x + 3=(x + 3)(x + 1)(2x + 1)
Step-by-step explanation:
\text{Given the polynomial }2x^3 + 9x^2 + 10x + 3
we have to factorise the above polynomial.
2x^3 + 9x^2 + 10x + 3
\text{Split }9x^2\text{ to }6x^2\text{ and }3x^2
=2x^3 + 6x^2 + 3x^2 + 9x + x + 3
=2x^2(x + 3) + 3x(x + 3) + 1(x + 3)
Taking (x+3) common both sidesTaking (x+3) common both sides
=(x + 3)(2x^2 + 3x + 1)
=(x + 3)(2x^2 + 2x + x + 1)
=(x + 3)[2x(x + 1) + 1(x + 1)]
=(x + 3)(x + 1)(2x + 1)
which is required factorization.
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