Question

If 2x-3 is the factor of the given polynomial 6x^2+x+a, then find the value of a.

Please solve it as fast as you can......I will mark it as brainleast......

Answer 1

Step-by-step explanation:

$\bf \red{QUES}{TION \: } \: \\:$

If 2x-3 is the factor of the given polynomial 6x^2+x+a, then find the value of a.

$\bf \red{SOLU}{TION} \: \:$

$\bf \red {FI}{ND} \:$

find the value of a.

$\bf \: \red{gi}ven$

If 2x-3 is the factor of the given polynomial 6x^2+x+a,

Factor,

$\bf \: 2x - 3 \\ \\ \red{ \bf \: x = \frac{3}{2} }$

$\bf \: Putting \: the \: value \: of \: x \: from \: polynomial \: \red{ 6x^2+x+a,} \\ \\ \bf 6x^2+x+a = 0\\ \\ \bf \: 6 \times { \frac{3}{2} }^{2} + \frac{3}{2} + a = 0\\ \\ \bf \: 6 \times \frac{9}{4} + \frac{3}{2} + a = 0\\ \\ \bf \: \frac{36}{4} + \frac{3}{2} + a = 0\\ \\ \bf \frac{36 + 6}{4} + a = 0 \\ \\ \bf \: \frac{42}{4} + a = 0 \\ \\ \bf \: a = - \frac{42 }{4} \\ \\ \bf \red{a = -\frac{21}{2} }$