Factoring Polynomials: Double Grouping

Question 1

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.Which product is the factored form of the polynomial?

Revolt · Accepted Answer

(x2 + 5)(3x2 – 2)

Question 2

(5x – 3)([___] x + [___])

Revolt · Accepted Answer

78707; 78708; 4

Question 3

(5x – 3)([___] x + [___])

Revolt · Accepted Answer

5

Question 4

Use the drop-down menus to complete the statements about factoring 14x2 + 6x – 7x – 3 by grouping.

Revolt · Accepted Answer

The GCF of the group (14x2 – 7x) is .: 7x; The GCF of the group (6x – 3) is .: 3; The common binomial factor is .: 2x – 1; The factored expression is .: (7x + 3)(2x – 1)

Question 5

The GCF of the group (6x – 3) is [___].

Revolt · Accepted Answer

3

Question 6

The common binomial factor is [___].

Revolt · Accepted Answer

2x – 1

Question 7

The factored expression is [___].

Revolt · Accepted Answer

(7x + 3)(2x – 1)

Factoring Polynomials: Double Grouping Answers

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