Polynomial, Cubic Equations

Solve x³ -3x²-5x+15 = 0

• 3, √5

• 3, √5, -√5

• -3, √5, -√5

• -3,

Factor completely.

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Tags

CCSS.HSA.APR.C.4

Factorise completely and find all roots.

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Tags

CCSS.HSF-IF.C.7C

Write the polynomial in descending power of x given the following roots. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Tags

CCSS.HSA.APR.B.3

Write the polynomial in descending power of x given the following roots. x = -2, -1, 2 and coefficient of  $x^3$  is 3

• f(x) = 3(x+2)(x+1)(x-2)

• f(x) = $3x^3+3x^2-4x-4$  

• f(x) =  $\left(x-1\right)\left(x^2-4\right)$  

• f(x) =  $x^3+x^2-4x-4$  

Tags

CCSS.HSA.APR.B.3

Factorise completely  $2x^3-16$  

•  $2\left(x^3-8\right)$  

•  $2\left(x-2\right)^3$  

•  $2\left(x-2\right)\left(x^2-4\right)$  

•  $2\left(x-2\right)\left(x^2+2x+4\right)$  

Tags

CCSS.HSA.APR.C.4

Solve  $x^3+6x^2+11x+6=0$  

• x=3, 2, 1

• x=-3, -2, -1

• x=-1, 2, 3

• x=-1, -2, 3

Tags

CCSS.HSA-REI.B.4B

Solve $x^3-3x^2+3x-1=0$  

(a)  

Is (x-4) a factor of (x³ +x² -16x-16)?

• Yes, because the remainder is 1

• No, because the remainder is 1

• Yes, because the remainder is 0

• No, because the remainder is 0

Tags

CCSS.HSA.APR.B.2

Is (x-3) a factor of (x³ - 3x² + 2x + 2)?

• Yes, because the remainder is zero.

• No, because the remainder is not zero.

  The remainder is 8.

• No, because the remainder is not zero.

• No, because the remainder is not zero

  The remainder is 10

Tags

CCSS.HSA.APR.B.2