what is the factorization of $3x^{2}-8x + 5$?\n(3x - 1)(x + 5)\n(3x + 5)(x - 1)\n(3x - 1)(x - 5)\n(3x - 5)(x…

what is the factorization of $3x^{2}-8x + 5$?\n(3x - 1)(x + 5)\n(3x + 5)(x - 1)\n(3x - 1)(x - 5)\n(3x - 5)(x - 1)

what is the factorization of $3x^{2}-8x + 5$?\n(3x - 1)(x + 5)\n(3x + 5)(x - 1)\n(3x - 1)(x - 5)\n(3x - 5)(x - 1)

Answer

Explanation:

Step1: Expand each option

For option A: $(3x - 1)(x + 5)=3x\times x+3x\times5-1\times x - 1\times5=3x^{2}+15x - x - 5=3x^{2}+14x - 5$. For option B: $(3x + 5)(x - 1)=3x\times x-3x\times1+5\times x - 5\times1=3x^{2}-3x + 5x - 5=3x^{2}+2x - 5$. For option C: $(3x - 1)(x - 5)=3x\times x-3x\times5-1\times x+1\times5=3x^{2}-15x - x + 5=3x^{2}-16x + 5$. For option D: $(3x - 5)(x - 1)=3x\times x-3x\times1-5\times x + 5\times1=3x^{2}-3x-5x + 5=3x^{2}-8x + 5$.

Answer:

D. $(3x - 5)(x - 1)$