Completely factor each expression by first factoring out the a-value. Then factor the trinomial. Check your answer by multiplying the binomials. 1.2x^2+10x+8 (2+5x+4) 2 4x^2+28x+40 4x^2gt 44 3. 3x^2-27x+54 4. 5x^2+25x-30 5. 10x^2-10x-60 6. 8x^2-72x+160 7. 3x^2-48 8. -2x^2-8x-8 9. -3x^2+21x-30

1. $2x^{2}+10x+8$<br />Factor out the GCF: $2(x^{2}+5x+4)$<br />Factor the trinomial: $2(x+4)(x+1)$<br />Check: $2(x+4)(x+1) = 2x^{2}+10x+8$<br /><br />2. $4x^{2}+28x+40$<br />Factor out the GCF: $4(x^{2}+7x+10)$<br />Factor the trinomial: $4(x+5)(x+2)$<br />Check: $4(x+5)(x+2) = 4x^{2}+28x+40$<br /><br />3. $3x^{2}-27x+54$<br />Factor out the GCF: $3(x^{2}-9x+18)$<br />Factor the trinomial: $3(x-6)(x-3)$<br />Check: $3(x-6)(x-3) = 3x^{2}-27x+54$<br /><br />4. $5x^{2}+25x-30$<br />Factor out the GCF: $5(x^{2}+5x-6)$<br />Factor the trinomial: $5(x+6)(x-1)$<br />Check: $5(x+6)(x-1) = 5x^{2}+25x-30$<br /><br />5. $10x^{2}-10x-60$<br />Factor out the GCF: $10(x^{2}-x-6)$<br />Factor the trinomial: $10(x-3)(x+2)$<br />Check: $10(x-3)(x+2) = 10x^{2}-10x-60$<br /><br />6. $8x^{2}-72x+160$<br />Factor out the GCF: $8(x^{2}-9x+20)$<br />Factor the trinomial: $8(x-5)(x-4)$<br />Check: $8(x-5)(x-4) = 8x^{2}-72x+160$<br /><br />7. $3x^{2}-48$<br />Factor out the GCF: $3(x^{2}-16)$<br />Factor the trinomial: $3(x-4)(x+4)$<br />Check: $3(x-4)(x+4) = 3x^{2}-48$<br /><br />8. $-2x^{2}-8x-8$<br />Factor out the GCF: $-2(x^{2}+4x+4)$<br />Factor the trinomial: $-2(x+2)^{2}$<br />Check: $-2(x+2)^{2} = -2x^{2}-8x-8$<br /><br />9. $-3x^{2}+21x-30$<br />Factor out the GCF: $-3(x^{2}-7x+10)$<br />Factor the trinomial: $-3(x-5)(x-2)$<br />Check: $-3(x-5)(x-2) = -3x^{2}+21x-30$