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mr_godi [17]
3 years ago
12

Which of the following is a polynomial with roots 4,6, and -7?

Mathematics
2 answers:
Otrada [13]3 years ago
8 0

Answer:

P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

given roots of the polynomial are given as    (4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

Andrews [41]3 years ago
3 0
The polynomial would be:
P(x)=(x-4)(x-6)(x+7)
P(x)=(x²-6x-4x+24)(x+7)
P(x)=(x²-10x+24)(x+7)
P(x)=x³+7x²-10x²-70x+24x+168
P(x)=x³-3x²-46x+168

Answer: P(x)=x³-3x²-46x+168
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