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• Polynomials
• Factoring Polynomials
• Factoring Trinomials

# Factoring Trinomials

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•  Question 1: 1 pts $$x^{2}+7x+10=x^{2}+(2+5)x+2\cdot 5 =(x+2)(x+5)$$
•  Question 2: 1 pts $$(x-1)(x+4)=x^{2}+4x-x-4=x^{2}+3x-4$$
•  Question 3: 1 pts Find a product $(x+1)(6x-4).$
 $6x^{2}-2x+4$ $6x^{2}+2x-4$ $6x^{2}-2x-4$ $6x^{2}+2x+4$
•  Question 4: 1 pts Find a product $(2x-2)(3x+2).$
 $6x^{2}+2x+4$ $6x^{2}+2x-4$ $6x^{2}-2x+4$ $6x^{2}-2x-4$
•  Question 5: 2 pts Factoring trinomials $x^{2}+6x+8.$
 $(x-4)(x+2)$ $(x+4)(x+2)$ $(x+4)(x-2)$ $(x-4)(x-2)$
•  Question 6: 2 pts Factoring trinomials $v^{2}+4v-21.$
 $(v+3)(v-7)$ $(v+3)(v+7)$ $(v-3)(v+7)$ $(v-3)(v-7)$
•  Question 7: 2 pts Factoring trinomials $2x^{2}+17x+26.$
•  Question 8: 2 pts Factoring trinomials $3x^{2}+11x+10$
•  Question 9: 3 pts Factoring trinomials $5x^{2}-9xy+4y^{2}.$
 $(x-y)(5x-4y)$ $(4x-y)(x-4y)$ $(x-5y)(x-y)$ $(x+y)(5x-4y)$
•  Question 10: 3 pts Factoring trinomials $8x^{2}y-60xy+28y$
•  Question 11: 3 pts Factoring trinomials $4x^{4}+2x^{3}y-6x^{2}y^{2}$
 $2x^{2}(2x+3y)(x+y)$ $2x(2x+3y)(x-y)$ $2x^{2}(2x+3y)(x-y)$ $x^{2}(2x+3y)(x-y)$
•  Question 12: 3 pts Factoring trinomials $3x^{2}-30x+75$
 $3(x+5)^{2}$ $(x-5)^{2}$ $3(x-5)(x+5)$ $3(x-5)^{2}$