Question

The product of (x + 1) and (x2 + 2x) is:
a. x3 + 3x2 + 2x b. x2 + 2x + 2 c. x4 + 2x
d. 2x2 + x


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Answer 1

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a) x

2

−3x+2=x

2

−2x−x+2=x(x−2)+1(x−2)=(x+1)(x−2)

(b) Since x

2

−3x+k can be written as the product of two first degree polynomials,

b

2

−4ac=0

(3)

2

−4(1)(k)=0⇒9−4k=0

k=9/4