for what value of b will be polynomial p(x) = -2x^3 + bx^2 - 5x + 2 have the same remainder when it is divided by x- 2 and by x+1 ?
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for what value of b will be polynomial p(x) = -2x^3 + bx^2 - 5x + 2 have the same remainder when it is divided by x- 2 and by x+1 ?
Divide it by x-2 and get:
Divide by x+1:
Can you finish?
Look at the remainder terms. Equate the numerators in the remainder terms and solve for b.
noo. Don't you have to sub 1 into 2 to get the other value.
No.
If you use the remainder theorem, then you apply it. It says that for a given polynomial f(x), the remainder, when f(x) is divided by (x - a), is given by f(a).
Hence;
Substituting 2;
Substituting -1;
If both remainder are equal, then:
Solve for b.
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