P1(x)=3x2+10x+8 and P2(x)=x3+x2+2x+t are two polynomials. When one of

1.	P1(x)=3x2+10x+8 and P2(x)=x3+x2+2x+t are two polynomials. When one of the factors of P1(x) divides P2(x), 2 is the remainder obtained. That factor is also a factor of the polynomial P3(x)=(x+2)2. Find the value of ‘t’.
Answer» $P_{1} (x) = 3 x^{2} + 10 x + 8$ and $P_{2} (x) = x^{3} + x^{2} + 2 x + t$ are two polynomials. When one of the factors of $P_{1} (x)$ divides $P_{2} (x)$ , 2 is the remainder obtained. That factor is also a factor of the polynomial $P_{3} (x) = (x + 2) 2$ . Find the value of ‘t’.

P1(x)=3x2+10x+8 and P2(x)=x3+x2+2x+t are two polynomials. When one of the factors of P1(x) divides P2(x), 2 is the remainder obtained. That factor is also a factor of the polynomial P3(x)=(x+2)2. Find the value of ‘t’.

Answer»

$P_{1} (x) = 3 x^{2} + 10 x + 8$ and
$P_{2} (x) = x^{3} + x^{2} + 2 x + t$
are two polynomials.
When one of the factors of $P_{1} (x)$ divides $P_{2} (x)$ , 2 is the remainder obtained.

That factor is also a factor of the polynomial $P_{3} (x) = (x + 2) 2$ .

Find the value of ‘t’.

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P1(x)=3x2+10x+8 and P2(x)=x3+x2+2x+t are two polynomials. When one of the factors of P1(x) divides P2(x), 2 is the remainder obtained. That factor is also a factor of the polynomial P3(x)=(x+2)2. Find the value of ‘t’.

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