Eric Nicholas K's answer to J's Secondary 3 A Maths Singapore question.
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The other possible graph, along with its equation. One of the roots must be a repeated root, and in my this case I let x = 3 be the repeated root so that
f(x) = - (x + 2) (x - 3)²
The negative sign in front is to reflect the fact that the coefficient of x³ is -1.
When divided by x + 1, by the Remainder Theorem, the remainder is f (-1)
= - (-1 + 2) (-1 - 3)²
= - (1) (16)
= - 16
f(x) = - (x + 2) (x - 3)²
The negative sign in front is to reflect the fact that the coefficient of x³ is -1.
When divided by x + 1, by the Remainder Theorem, the remainder is f (-1)
= - (-1 + 2) (-1 - 3)²
= - (1) (16)
= - 16
Date Posted:
3 years ago
Rachel, let me know if you need more explanation.