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Preheat oven to 400 degrees.
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Chop carrots into large chunks. Toss in 2 teaspoons olive oil and lightly salt. Roast for about 30 minutes, until carrots are fork-tender. Set aside until cool enough to work with.
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Meanwhile, you can get everything else ready. Using either a blender or food processor, add the garbanzo beans, 2 tablespoons olive oil, lemon juice, sesame seeds, garlic, spices and salt.
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Once the carrots have cooled, add them to the blender or food processor. Pulse or blend until combined.
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Have the olive oil on hand if you need to add more because the consistency is too thick.
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Garnish with paprika or fresh parsley.
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Serve with crackers, bread or tortilla chips. Spread on a sandwich. Enjoy!