Find a polynomial p(x) = a + bx + cx + dx such that p(1)=-2, p'(1)=2,...

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Find a polynomial p(x) = a + bx + cx² + dx³ such that p(1)=-2, p'(1)=2, p(2) = 2 and p'(2)=7. Solve the system by transforming the augmented matrix to reduce echelon form without using technology. Find a polynomial p(x) = a + bx + cx² + dx³ such that p(1)=-2, p'(1)=2, p(2) = 2 and p'(2)=7. Solve the system by transforming the augmented matrix to reduce echelon form without using technology.