the polynomial $3x^{2}-10x + 8$ has a factor of $3x - 4$. what is the other factor of $3x^{2}-10x + 8$?\n$x…
the polynomial $3x^{2}-10x + 8$ has a factor of $3x - 4$. what is the other factor of $3x^{2}-10x + 8$?\n$x - 2$\n$x - 4$\n$x - 6$\n$x - 8$
Answer
Explanation:
Step1: Set up the factoring form
Let (3x^{2}-10x + 8=(3x - 4)(ax + b)). Expand the right - hand side: ((3x - 4)(ax + b)=3ax^{2}+3bx-4ax - 4b=3ax^{2}+(3b - 4a)x-4b).
Step2: Equate the coefficients
Equate the coefficients of the (x^{2}) terms: (3a = 3), so (a = 1). Equate the constant terms: (-4b=8), so (b=-2). The factor is (x - 2).
Answer:
A. (x - 2)