The expression 4x2−px+74x^2-px+74x2−px+7 leaves the reminder -2 when divided by x - 3. Find the value of p A15B12C10D18Answer: A. 15 Read Explanation: when a polynomial p(x) is divided by (x - a) for some number a , the reminder r = p(a) When p(a) = 0 then (x -a) is a factor of p(x)r(x)=4x2−px+7r(x)=4x^2-px+7r(x)=4x2−px+7x−3=0 ⟹ x=3x-3=0\implies{x=3}x−3=0⟹x=3r(3)=4(32)−p×3+7=−2r(3)=4(3^2)-p\times3+7=-2r(3)=4(32)−p×3+7=−236−3p+7=−236-3p+7=-236−3p+7=−2−3p+43=−2-3p+43=-2−3p+43=−2−3p=−45-3p=-45−3p=−45p=45/3=15p=45/3=15p=45/3=15 Read more in App
