Multiply the polynomials (4x^2+4x+6)(7x+5)

28x^3 +48x^2 +62x +30

Step-by-step explanation:

You can use the distributive property to identify the separate terms, then combine terms:

... = 7x(4x^2 +4x +6) +5(4x^2 +4x +6)

... = 28x^3 +28x^2 +42x + 20x^2 +20x +30

... = 28x^3 +x^2(28+20) +x(42 +20) +30

... = 28x^3 +48x^2 +62x +30

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Or, you can recognize where the product terms come from, and combine terms as you go. This can be done in your head as you write down the answer.

... The x^3 term comes from 7x·4x^2 = 28x^3

... The x^2 term comse from 7x·4x +5·4x^2 = 28x^2 +20x^2 = 48x^2

... The x term comes from 7x·6 +5·4x = 42x +20x = 62x

... The constant term comes from 5·6 = 30

So, you can write down the result as 28x^3 +48x^2 +62x +30.

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )