Question

The polynomial be p(x) =x^3+-2x^2+3x+7 when divided by x-2 leaves the remainder

Answer 1

Answer:

x=2

Step-by-step explanation:

p(2)=(2)³+ 2×2²+3×2-7

=8+8+6-7

=16+6-7

=16-1

= 15

Answer 2

Answer:

13

Step-by-step explanation:

The polynomial be p(x) =x^3+-2x^2+3x+7 when divided by x-2 leaves the remainder

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When factorized the given polynomial becomes:

• x^3-2x^2+3x+7=
• = (x^3-2x^2) + (3x-6) +13
• = (x-2)(x^2+3) + 13

As we see it has factor of (x-2) and when divided by this factor the remainder is 13