Find a polynomial equation in the standard form whose roots:1,2,and -3

1.	Find a polynomial equation in the standard form whose roots:1,2,and -3.
Answer» Step-by-step explanation: SUM of roots =1+2-3=0 sum of PRODUCTS of TWO roots = 1x2+ 2× -3+ -3×1=2-6-3 = -7 product of roots= 1×2× -3 = -6 polynomial= ${x}^{3} - 0 \times {x}^{2} + ( - 7)x - ( - 6)$ ${x}^{3} - 7x + 6$

Find a polynomial equation in the standard form whose roots:1,2,and -3.

Answer»

Step-by-step explanation:

SUM of roots =1+2-3=0

sum of PRODUCTS of TWO roots = 1x2+ 2× -3+ -3×1=2-6-3 = -7

product of roots= 1×2× -3 = -6

polynomial=

${x}^{3} - 0 \times {x}^{2} + ( - 7)x - ( - 6)$

${x}^{3} - 7x + 6$

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Find a polynomial equation in the standard form whose roots:1,2,and -3.

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