The Quadratic Formula: Factoring trinomials using decomposition

Complete the equationMissing formulaThird powerFactoring Out the Greatest Common Factor (GCF)Using fractionsUsing short multiplication formulasSystem of equations with no solutionIdentifying and defining elementsComplete the one solution equationEquations with variables on both sidesApplying the formula with two solutions
Question 1

Use the root formula and extract the trinomial

\( x^2+7\frac{3}{4}x-2 \)

Question 2

Decompose the following expression into trinomials

\( 5x^2+9x+4 \)

Question 3

Use the root formula and extract the trinomial

\( x^2-2bx+ax-2ba+7x-14b \)

Examples with solutions for The Quadratic Formula: Factoring trinomials using decomposition

Exercise #1

Use the root formula and extract the trinomial

x2+734x−2 x^2+7\frac{3}{4}x-2

Video Solution

Answer

(x+8)(x−14) (x+8)(x-\frac{1}{4})

Exercise #2

Decompose the following expression into trinomials

5x2+9x+4 5x^2+9x+4

Video Solution

Answer

(5x+4)(x+1) (5x+4)(x+1)

Exercise #3

Use the root formula and extract the trinomial

x2−2bx+ax−2ba+7x−14b x^2-2bx+ax-2ba+7x-14b

Video Solution

Answer

(x+7+a)(x−2b) (x+7+a)(x-2b)