Question

If x=2 is root of polynomial if(x)= x2-3x2+ax+b then find the values of a and b.

Answer 1

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here is given one factor of equation
X = 2, & X =0
${2}^{2} - 3 {(2)}^{2} + a \times 2 + b \\ 4 - 12 + 2a + b \\ 2a + b = 8 \\ \\ putting \: value \: of \: x = 0 \\ {0}^{2} - 3 {(0)}^{2} + a0 + b \\ b = 0 \\ 2a + 0 = 8 \\ a = 4$