which polynomial has factors of 4x - 7 and x + 4?\n3x² + x - 3\n4x² + 9x - 28\n3x² - 7x - 3\n4x² - 23x - 28

which polynomial has factors of 4x - 7 and x + 4?\n3x² + x - 3\n4x² + 9x - 28\n3x² - 7x - 3\n4x² - 23x - 28

which polynomial has factors of 4x - 7 and x + 4?\n3x² + x - 3\n4x² + 9x - 28\n3x² - 7x - 3\n4x² - 23x - 28

Answer

Explanation:

Step1: Multiply the two factors

$(4x - 7)(x + 4)$

Step2: Use FOIL method

$4x\times x+4x\times4-7\times x - 7\times4$ $=4x^{2}+16x-7x - 28$

Step3: Combine like - terms

$4x^{2}+(16x - 7x)-28=4x^{2}+9x - 28$

Answer:

$4x^{2}+9x - 28$ (the second option)